Solve the system of linear equations by substitution.
x-2y=6
3x-5y=11

Answers

Answer 1

Answer:

x = -8, y = -7

Step-by-step explanation:

=> x = 6 + 2y

substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:

=> 3(6 + 2y) - 5y = 11

=> 18 + 6y -5y = 11

=> y = -7

substitute y = -7 into the equation x - 2y = 6 to solve for x:

=> x - 2(-7) = 6

=> x +14 = 6

=> x = -8


Related Questions

The dimensions of a patio are shown above what is the area in square feet of the patio?​

Answers

Answer:

uhh the picture is sideways .

Answer:

it is 10x + 2

Step-by-step explanation:

Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.

Answers

Answer:

29160cm³

Step-by-step explanation:

(18*18*18) *5 = 29160

P = 3T squared work out the value of p when T = 10

Answers

Answer:

P=300

Step-by-step explanation:

P=3T squared

T=10

P=?

P= 3×(10×10)

=3×100

=300

PLEASE HELP MEEEEE!!

Answers

Answer:

2/6

3/9

4/12

Step-by-step explanation:

Answer:

2, 3, 4

Step-by-step explanation:

HELP IM TIMED. ILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Use the work below to answer the following questions.
-4+ 7(1-3m)
-4 + 7 - 21m
-4 – 14m​

Answers

Answer:

-54

Step-by-step explanation:

Evaluate the following equation for the given x value. Round your answer to
the nearest hundredth. *
у
600(0.732)"; x = 3

Answers

Answer:

585856859686

Step-by-step explanation:

546786676

Given that
5x : 8 = 7:2
Calculate the value of x
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

Given

5x : 8 = 7 : 2

[tex]\frac{5x}{8} =\frac{7}{2}\\cross , multiply\\\\10x = 56\\x = \frac{56}{10}\\x =\frac{28}{5}[/tex]

hope it helps :)

What is the degree of this polynomial below ?
2x^5 + 4x^3 -3x^8

Answers

Answer:

8

Step-by-step explanation:

the degree is the highest exponent value

Employees at a company are given £1,200 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 15 get 10% off the price."
The coffee machine costs £280.
How much will they have left over from the £1,200?

Answers

Answer:

100 $

Step-by-step explanation:

What type of units are used to describe volume?

Answers

units used to describe volume are cubic

Answer:

The most basic common unit is Liters (L), but people also commonly use milliliters (mL) and cubic centimeter (cm^3).

please Help.
Ahmed And Ebrahim are recording how far a ball rolls down a ramp during each second. the table below shows the data the have collected.​

Answers

Answer:

Read below for the answer :)

Step-by-step explanation:

So, when you read it at first, it doesn't seem to match in any way. Well look at it from left to right. If you take notice of the bottom numbers, 1 to 9 is a difference of 8. And 2 to 13 = a difference of 11. 8-11 = a plus 3 system. Likewise, 3 to 17 = 14, or, 11 +3.

The answer is yes, and that is the reason above :)

Solve the following formula for t.
W = C + Crt

Answers

Answer:

(W-C)/Cr=t

Step-by-step explanation:

Move the C to the left side to make W-C=Crt

Divide by Cr

(W-C)/Cr=t

A. 93
B. 57
C. 132
D. 123

Answers

Answer:

B

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees.

We have two angles already and they add up to 60+63=123 degrees

180-123=57

so the remaining angle is 57 degrees

9514 1404 393

Answer:

  D.  123°

Step-by-step explanation:

The external angle is equal to the sum of the remote internal angles.

  m∠1 = 60° +63°

  m∠1 = 123°

In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP

Answers

Answer:

75 degrees

Step-by-step explanation:

2 and 4 are vertical angles so 4 is 75.

4 and 6 are alternate exterior angles so have same value.

6 is 75 degrees.

1. If CA = 12 cm, what is the measure of ER?
1CD
CD​

Answers

Answer:

[tex]ER = 12cm[/tex]

Step-by-step explanation:

Given

See attachment for the given shape

Required

Length of ER

The given shape is a parallelogram and the opposite sides are: CA and ER

Given that:

[tex]CA= 12cm[/tex]

We have:

[tex]CA = ER[/tex] --- opposite sides of a parallelogram

So:

[tex]ER = 12cm[/tex]

help me please!!!!! and thank you!

Answers

Answer:

After 5 minutes, the submarine is at 240 ft below sea level.

Step-by-step explanation:

-300 + 16z

After 5 minutes, z = 5.

-300 + 16(5) = -300 + 80 = -240

After 5 minutes, the submarine is at 240 ft below sea level.

What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?

Answers

Answer:

D

Step-by-step explanation: :)

8
Determine the area
of the shaded
region.
2 ft
7.6.4

Answers

Answer:

3.44 ft ^2

Step-by-step explanation:

the box area is 4x4 =16

the circle is 4π = 12.57

16-12.57 = 3.46 this is rounded so 3.44 would work too

A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $115 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let x= the cost of a calculator and y= the cost of the textbook. The corresponding modeling system is {x+y=115x=4y+20. Solve the system by using the method of substitution.

Answers

Answer:

X=$96

Y=$19

Step-by-step explanation:

x=4y+20

X+Y=$115

4Y+20+Y=$115

5Y+20=$115

-20 -20

5Y=$95

/5 /5

Y=$19

X=4 x $19 + $20

X=$76+$20

X=$96

In linear equation,  cost of calculator = $96 , cost of textbook = $19 is the   cost  of each item .

What are instances of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.

let cost of calculator = x

cost of textbook = y

x=4y+20  .................(1)

X+Y= 115  .................(2)

put value of equation 1 in 2

4Y+20+Y= 115

5Y+20= 115

5Y = 115 - 20

5Y =  95

Y = 95/5

Y = 19

Put value of y in equation 1

X=4 x 19 + 20

X= 76+ 20

X= 96

cost of calculator = 96

cost of textbook = 19

Learn more about linear equation

brainly.com/question/11897796

#SPJ2

5. In order to figure out who will go first in a game, your friend asks you to
pick a number between 1 and 25.
a. What are the possible outcomes?
b. What are the favorable outcomes of choosing an even number?
c. What are the favorable outcomes of choosing a
number less than 20?

Answers

Answer:

a. - Any number 1-25

b. - 12/25

c. - 20/25

What is the probability that a point chosen at random is in the blue region?

Answers

Answer:

Well It would about 1/10000000 if your talking about all colors, but its not specified how many blue regions other colored regions there are so I cant tell you without knowing.

Step-by-step explanation:

Just Take the amount of regions then put it under the amount of Blue regions there are then look up on a browser, Ex: What is 2/3 into a percent: 66.6 percent, And you have your answer :)

Answer:

15/17

Step-by-step explanation:

i need help with this pls

Answers

Answer:

Angles B & C both = 157 degrees .

Step-by-step explanation:

Angle A is adjacent to Angle B, which means they are the same size. 23 degrees for A & B.

23+23 = 46.

We have two straight lines, one line = 180. 180*2 = 360.

Take 46 from 360 because we already figured out two angles.

360 - 46 = 314

Divide 314 by 2 because we have two unknown angles...

314 / 2 = 157 .

Angle B & C = 157.

Students applying to law school must take the LSAT exam. Since competition for acceptance is stiff, many students take a course that is advertised to boost scores on the LSAT. The agency that teaches the course claims the course is an effective way to raise scores on the LSAT. To test this claim, a group of students are given the LSAT and their scores are recorded. They then attend the course for 5 wecks and retake the exam. Their scores are recorded again. The pre and post test scores are saved here (for Minitab 19) or here (for Minitab 18).
a. Are the samples independent or dependent? Explain.
b. What are the appropriate null and alternative hypotheses for testing the claim that the course is an effective way to raise scores on the LSAT?
c. What Minitab procedure are you going to use to test the hypotheses formulated above?
d. Create the probability plot necessary to validate the procedure chosen above. B C14 C15 non 100 m Ennish finited States)

Answers

Answer:

a) Dependent

b) H0: µd = 0

    Ha: µd > 0

c)  Stat  --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output

d) Not enough data

Step-by-step explanation:

Using values found in MINITAB 19

a) The samples are dependent and this is because the title of the test is the same ( i.e. A group of students given the LSAT )

b) Appropriate hypothesis

H0: µd = 0

Ha: µd > 0

c) The Minitab procedure to be used to test the hypothesis is

click on Stat  --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output

d) Not enough data to create a probability plot


I need help please !!!!!!!!

Answers

I don’t understand what this question is asking

Answer:

line and point

hope it's correct..

Answer in correct standard form

Answers

It’s 746 and I used a calculator to do it

I need help on what to do

Answers

here’s a cheat sheet on how i remember these. if it’s x3+y3 it’s x+y(x2-xy +y2)
if it’s x3-y3 its (x-y)(x2+xy+y2)

⚠️ Urgent PLS HELP !!!
find the value of x.

Answers

Answer:

x = 14.5

Step-by-step explanation:

This is a supplementary angle, meaning the sum of the angles is 180°.

We can find the value of x by combining like terms.

5x - 6 + 7x + 12 = 180.

5x and 7x are alike.

5x + 7x = 12x.

-6 + 12 = 6.

The final equation is 12x + 6 = 180.

We can solve this by subtracting 6 from 180.

180 - 6 = 174.

12x = 174

Lastly, we divide 174 by 12.

174 / 12 = 14.5

Therefore, x is equal to 14.5

what are the lengths of side a and b?​

Answers

Answer:

[tex]a =\frac{\sqrt 2}{2}[/tex] m

[tex]b=\frac{\sqrt 2}{2}[/tex] m

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(45) = \frac{a}{c}[/tex]

[tex]\sin(45) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(45) = \frac{a}{1}[/tex]

[tex]\sin(45) = a[/tex]

Rewrite as:

[tex]a =\sin(45)[/tex]

In radical form:

[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]

So:

[tex]a =\frac{\sqrt 2}{2}[/tex]

Similarly:

[tex]\sin(45) = \frac{b}{c}[/tex]

[tex]\sin(45) = \frac{b}{1}[/tex]

[tex]\sin(45) = b[/tex]

Rewrite as:

[tex]b = \sin(45)[/tex]

In radical form:

[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]

So:

[tex]b=\frac{\sqrt 2}{2}[/tex]

Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.
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