Solve the system by substitution.
y= -6x-7
y= -7x

Answers

Answer 1

Answer:

 x = 7

 y = -49

Step-by-step explanation:

Solving system of equation by substitution method.

           y = -6x - 7 ---------------(I)

           y = -7x -------------------(II)

Substitute y = -7x  in equation (I)

          -7x = -6x  - 7

   -7x + 6x = -7

            -x   = -7    

Multiply both sides by (-1)

           [tex]\sf \boxed{\bf x = 7}[/tex]

Substitute x =7 in equation (II)

       y = -7*7

       [tex]\sf \boxed{\bf y = -49}[/tex]

Answer 2

Answer:

X = 7 Y = -49

Step-by-step explanation:

Y= -6 X -7---------(1)

Y= -7 X ------------(2)

using substitution method, substitute equation two into equation one

-7 X = -6X -7

-7 X+6X = -7

- X = -7

cancelling the - sign on bothsides

X = 7

put X = 7 into equation (2)

Y = -7(7)

Y = -49

therefore, X = 7 Y= -49


Related Questions

67/100 simplificado
1/4 simplificado​

Answers

[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

A la igual que la otra Operación:

[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]

Ninguna tiene factores comunes.

Espero que te sirva, salu2!!!!

The fraction 67/100 It cannot be simplified.

It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

The fraction 1/4 Nor can it be simplified.

Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.

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what is the positive solution of 3x^2-10-8=0?

Answers

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

I need help please ASAP??!!

Answers

Answer:

i got you the answer is .....

Step-by-step explanation:

there you go

1. From where do we get fibre?​

Answers

Answer:

Grain, fruit, and vegetables are where natural fibers are found.

Find the value of sin E rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

using sin formula

[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]

Will give brainliest.

Answers

Answer:

Im pretty sure its "A. 6"!

Have a nice day! :)

Pls help me with this

Answers

Let's find the area!!

«------«----------»----------»

2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626

«------«----------»----------»

Therefore, your answer is D. 26cm^2!!!!!

The ages of Charlotte and Olivia are in the ratio 6:10. After 10 years, their ratio will become 4:6. Find their ages.

Answers

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

How many fluid ounces are there in 3 pints and 8 fluid ounces?

Answers

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

Jack invests money in an account paying a simple interest of 7.1% per year. If mm represents the amount of money he invests, which expression represents his balance after a year, assuming he makes no additional withdrawals or deposits?

m+0.071m+0.071

1.0071m1.0071m
1+0.071m1+0.071m
m+0.071mm+0.071m

Answers

The balance after a year will be represented by an expression m + 0.071m.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Jack invests money in an account paying a simple interest of 7.1% per year.

The total amount will be calculated as:-

Total amount = Principle + interest rate x priciple

Total amount  = m  +   0.071m

Therefore the balance after a year will be represented by an expression m + 0.071m.

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Which expression is equivalent to the following complex fraction?

1 minus StartFraction 1 Over x EndFraction divided by 2
StartFraction x minus 1 Over 2 x EndFraction
Negative one-half
StartFraction 2 x minus 2 Over x EndFraction
StartFraction 2 x Over x minus 1 EndFraction

Answers

The complex fraction is

[tex]\\ \rm\Rrightarrow \dfrac{1-\dfrac{1}{x}}{2}[/tex]

On comparing

[tex]\\ \rm\Rrightarrow \dfrac{\dfrac{x-1}{x}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2(x-1)}{x}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2x-2}{x}[/tex]

Middle one

Answer:

It is A.) x-1 / 2x

Step-by-step explanation:

correct on edge

Triangle ABC is similar to triangle DEF.

a. Find the scale factor from triangle ABC to triangle DEF.

b. Find x.

c. Find y.

Answers

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7


3/8 = 15/y

15*8=120

120/3= 40

y=40


orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7



Jackie is a student of UEW. This year, her age is a multiple of 6. Next year, her age will be a multiple of 5. If Jackie is younger than 40, how old will she be next year? ​

Answers

Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

What are the multiples of 5 and 6?

They are given as follows, considering numbers less than 40:

M(5) = {0, 5, 10, 15, 02, 25, 30, 35}.M(6) = {0, 6, 12, 18, 24, 30, 36}.

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

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The art club had an election to select a president.


​75\%75% of the 6060 members of the club voted in the election.

​How many members voted?

Answers

Answer:

45

Step-by-step explanation:

Subtract 60 from 75% and multiply the answer.

2 How many 1.2-kg books can you pack into a suitcase so that the total weight does not exceed 36 kg?​

Answers

Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Can someone help me please!!!

Answers

Answer:

5. is 18 your welcome

Step-by-step explanation:

Find the value of y…

Answers

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

        2x = 144°

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Find two pairs of integers whose product is -20.

Answers

Answer:

-10 x 2 and -5 x 4

Step-by-step explanation:

An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.

Applicable equations:

-10 x 2 = -20

10 x (-2) = -20

-5 x 4 = -20

5 x (-4) = -20

-1 x 20 = -20

1 x (-20) = -20

What is the equation of the line written in slope-intercept form that passes through the point (-1, 5) and is parallel to the line y = -2x – 5?

Answers

Answer:

Step-by-step explanation:

y - 5 = -2(x + 1)

y - 5 = -2x - 2

y = -2x + 3

What is the value of x in the solution to this system of equations?

Answers

Answer:

x = 10/3

Step-by-step explanation:

3x = 2y + 14

y = -6x + 18

3x = 2(-6x+18) + 14

3x = -12x + 36 + 14

15x = 50

x = 50/15

x = 10/3

Answer:

10/3

Step-by-step explanation:

3x= 2y+14-------(1)

y= -6x+18------(2)

from equation (2) put y= -6x+18 into equation (1)

3x= 2(-6x+18)+14

3x= -12x+36+14

3x+12x= 50

15x= 50

dividing bothsides by 16

x = 50/15

x= 10/3

Please help need urgent

Answers

Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet


area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet


answer: 121.5 square feet

Find the lateral area and surface area of the regular square pyramid.
Round to nearest tenth.

Answers

Answer:

Step-by-step explanation:

lateral edge is an edge from the base to the vertex. As opposed to a base edge.

If the base edge is 6, the base diagonal is 6√2

Now draw a right triangle from the center of the base to the vertex, including one base corner.

(6√2/2)^2 + h^2 = (√34)^2

18 + h^2 = 34

h = 4

So, now we have height 4 and base edge 6, so the faces are triangles with

base = 6

height = √(3^2 + 4^2) = 5

lateral area is thus 4 * 1/2 (6)(5)

add the square base if desired.

Paul reads on a map that 1 inch represents 7 miles. He measures the distance between two spots to be 8.5 inches. What is the real distance?

Answers

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

Communicate Precisely: Suppose the numbers on the clock face are removed.
Write instructions that another person could follow to move the minute hand from 2 to 6.

Answers

In order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

On a clock, numbers 1 to 12 are printed on it.

If numbers on the clock face are removed.

As we know, the clock is a circle and has a total angle of 360 degrees.

Angle between the two numbers = 360/12 = 30 degree

Then the following instructions have to be followed in order to move the minute hand from 2 to 6:

Set the minute hand vertically up.Move 60 degrees in a clockwise direction, it will be on number 2.Now move 120 degrees in a clockwise direction, it will indicate the number 6.

Thus, in order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.

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can anyone help plssss??

Answers

Answer:

42 degrees

Step-by-step explanation:

48+90=138

180-138=42

Convert: 92 ounces = _____ pounds _____ ounces







9 pounds 2 ounces
5 pounds 2 ounces
1,472 pounds 0 ounces
5 pounds 12 ounces

Answers

Answer:

5 pounds and 12 ounces.

Step-by-step explanation:

Divide it all by 16, and you should get 5 with a remainder of 12 (which is the remaining ounces). Hope it helps ! ^_^

Answer:

5 pounds 12 ounces

Step-by-step explanation:

I copied the other answer

If you complete the square in the quadratic equation ​, you get the quadratic formula for the solutions x ​_______.

Answers

Answer:

[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

need help with my aleks

Answers

Answer:

Below in bold,

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

So the equation is:

7x + 8 + 4x + x + 4 = 180

12x + 12 = 180  <-------- Required equation

12x = 168

x = 14.

m< L = 14 + 4 = 18 degrees

m< M = 7(14) + 8 = 106 degrees

m< N = 4(14)= 56 degrees

A rectangular room has a length of 16 ft and a diagonal of 22 ft. What is the approximate
width of the room?

Answers

Answer:

no

Step-by-step explanation:

Answer: 15.09967ft

Step-by-step explanation: w=d2﹣l2=222﹣162≈ hope this helps ^^

use the graph of f to solve for f(x)= -3 for x

Answers

Answer:

b

Step-by-step explanation:

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