Solve the system using substitution. show work.
x=y−6
y=6−3x

Answers

Answer 1

Answer:

y=6

x=0

Step-by-step explanation:

X=(y-6)

y=(6-3x)

So For Y

y=6-3(y-6)

y=6-3y+18

add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6

and for X just plug in whats in (y)

x=(6-3x)-6

So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0


Related Questions

Solve the system.

y+5x=1

5y-x=5

The solution is ___


Explain your choice of method.

Answers

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Subtract 5x on both sides:                    y = 1 - 5x

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Substitution in y:                      5(1 - 5x) - x = 5Distribute 5:                             5 - 25x - x = 5Combine like terms:                5 - 26x = 5Isolate x term:                          -26x = 0Isolate x:                                   x = 0

Step 5: Solve for y

Define equation:                    5y - x = 5Substitute in x:                       5y - 0 = 5Subtract:                                 5y = 5Isolate y:                                 y = 1

What is the value of n in the equation 1/2 (n-4)-3=3-(2n+3)?

n = 0
n = 2
n = 4
n = 6

Answers

Answer:

Solve for

n

by simplifying both sides of the equation, then isolating the variable.

n

=

2

Step-by-step explanation:

N=2 is right plz thank me by pressing heart

1)
Which decimal represents the portion that is NOT shaded?
A)
0.003
B)
0.03
0
0.3
D)
3.0

Answers

Answer:

D) 3.0

Hope this helped

What is the x-coordinate of the point of intersection for the two lines below?
(2x + y = -9
(2x - 5y =-3

Answers

Answer:

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

Step-by-step explanation:

As we know that the solution of the system of equations is the point of intersection. Let us solve it.

Given the system of equations

[tex]\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}[/tex]

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

[tex]2x-5y=-3[/tex]

[tex]-[/tex]

[tex]\underline{2x+y=-9}[/tex]

[tex]-6y=6[/tex]

so

[tex]\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}[/tex]

solving for y

[tex]-6y=6[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{6}{-6}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1[/tex]

[tex]2x-1=-9[/tex]

[tex]2x=-8[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-8}{2}[/tex]

[tex]x=-4[/tex]

Thus, the x-coordinate of the point of intersection for the two lines below will be:

[tex]x=-4[/tex]

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

PLEASE ANSWERRRRRRRR!!!
What is the value of, when x^2+5=21?

Have a good day!!

Answers

Answer:

x= 4 or -4

Step-by-step explanation:

take the root of both sides then solve

hope this helped♥

Please help I don’t know how to do this

Answers

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

Solve this equation
бу – 14 = 22
y =

Answers

6y -14 = 22
22+14=36
36/6= 6

Y=6
Hope this helps!

Answer:

Let's solve your equation step-by-step.6y−14=22Step 1: Add 14 to both sides.6y−14+14=22+146y=36Step 2: Divide both sides by 6.6y6=366y=6Answer:✍️y=6

helppp
algebraaaaa what is sum of polynomials

Answers

Answer:

3x^2+6x+4

Step-by-step explanation:

6x+7+x^2+2x^2-3

3x^2+(7-3)+6x

3x^2+6x+4

convert 3 4/5 into a improper fraction with steps please

Answers

Answer:

Step-by-step explanation:

((3×5)+4)/5=

19/5

The improper fraction is 19/5.

We have to convert [tex]3 \dfrac{4}{5}[/tex]  it into an improper fraction.

To convert into an improper fraction calculation must be done in a single unit following all the steps given below.

 Step1; Write the fraction into simple fractions,

                    [tex]= \dfrac{3 \times 5 + 4}{5}[/tex]

Step2; Solve the following equation.

                    [tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]

Hence, The improper fraction is 19/5.

To know more about Fractions click the link given below.

https://brainly.com/question/21449807

PLEASE HELP I KNOW ITS EASY BUT I FORGOT!!!! PLEASE HELP!! Write -3/8 as a decimal.

Answers

Answer:

-0.375

Step-by-step explanation:

You can write fractions as equations and solve for a decimal.

-3/8 = -3 ÷ 8

-3 ÷ 8 = -0.375

Answer:

I got you bro

Step-by-step explanation:

-0.38

Given the e(t) = 1.8t + 25

How many feet had Evie ran after 14 seconds? Round to the nearest whole second.

Answers

e(14) = 1.8*14 + 25 <=>

e(14) = 25.2 + 25 <=>

e(14) = 50.2

Rounded to the nearest whole second:

e(14) = 50 feet

The table shows the linear relationship between the number of hours Francis worked, x, and
the amount of money Francis earned, y.

Answers

Answer: 14 per hour

Step-by-step explanation: divide amount earned by hours worked

Find the measure of the indicated angle:

A) 68°
C) 45°
B) 47°
D) 940

Answers

The correct answer is “A”

What is the slope of the line.

Answers

I really don’t know but have the same question

Answer:

1/3

Step-by-step explanation:

I have a certain way of doing this, I will start from the Y-intercept, let's say its (0, 2), then, if the next point is (3, 4) i will count up 1, to get to point 3 on the graph, then count left/right to point 4. Thus making my slope 1/2.

Hope that made sense!

I need help with this, I can't figure it out.

Answers

Answer:

- 4, 13, - 21, 47

Step-by-step explanation:

Using the recursive rule and a₁ = - 4 , then

a₂ = - 2a₁ + 5 = - 2(- 4) + 5 = 8 + 5 = 13

a₃ = - 2a₂ + 5 = - 2(13) + 5 = - 26 + 5 = - 21

a₄ = - 2a₃ + 5 = - 2(- 21) + 5 = 42 + 5 = 47

Thus the first 4 terms are - 4, 13, - 21, 47

At a restaurant 28 guests ordered a dessert, and 42 quests did not order a dessert. What
percentage of the guests at the restaurant ordered a dessert?

Answers

28+42=70

28/70 =40% ordered
42/70=60% did not order

If 11 + 11 = 22 and 10 + 12 = 22 then which of the following is true?
A. 11 + 10 = 11 + 12
B. 11 + 11 = 10 + 12
C. 11 + 11 = 12 + 12
D. 10 + 11 = 12 + 13

show your work

Answers

B. 11+11=10+12


11+11 is 22
And 10+12 is 22
So the statement is true because both sides are equal

Answer:

B. 11+11=10+12

Step-by-step explanation:

11+11 is 22

And 10+12 is 22

So the statement is true because both sides are equal

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. Let y be the value in dollars and x be the number of euros.

Answers

Answer:

y=1.125x

Step-by-step explanation:

9/8 is the ratio

so, I would do 9/8 which is 1.125. so, one euro is worth 1.125 dollar

y(dollars)=1.125x(euros)

TEST

27 dollars=1.125 • 24

done

Nasreen was babysitting her cousin on Saturday.
She brought him to the park and spent $4.25 at
the ice cream truck. If she was paid $30.00 for
babysitting, how much did Nasreen profit for the
afternoon?

Answers

Answer:

$25.75

Step-by-step explanation:

$30.00 - $4.25 = $25.75

factorize x^2+3x-ax-3a​

Answers

Answer:

=−ax+x2−3a+3x

Step-by-step explanation:

A box of oat cereal costs $4.37 for 19 ounces. A box of rice cereal costs $3.77 for 13 ounces.

Which box of cereal costs less per ounce? Complete the explanation and give your answer.

Answers

Answer:

Oat cereal cost less per oz.

Step-by-step explanation:

OC: 4.37/19=0.23

RC:  3.77/13=0.29

oat cereal shows up as less for one ounce

What is the measure of ZRST?


Answers

Answer: 131

Step-by-step explanation: that one is good

23.82600 in standard form​

Answers

Answer:

23.826

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

100 POINTS
A plant is already 15.00 meters tall, and it will grow 6 centimeters every month. The plant's height, H (in meters), after x months is given by the following. =H+15.000.06x What is the plant's height after 15 months?

Answers

90 SORRY IF IM WRONG
i believe the answer is 90

PLLSSS HELP ASAP!!!!!!!!

Answers

I think
It’s A I’m not 100% sure

Solve for m: -8 = m/-10 - 16

Answers

Answer:

m = -80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-8 = m/-10 - 16

Step 2: Solve for m

Add 16 to both sides:                    8 = m/-10Multiply -10 on both sides:            -80 = mRewrite:                                          m = -80

Answer:

We have this equation:

-8 = m/-10 -1

We can add 8 at both sides:

-8 + 8 = m/-10 -16 + 8

0 = m/-10 -8

Now, we can multiply -8 by -10 with the objective of having the same denominator (-10) in all numbers:

0 = m/-10 - 8*(-10)/-10

0 = m/-10 +80/-10

Now, we can delete all denominators

0 = m + 80

And we can say m = -80

Now, we can replace it to see if it's true:

-80/-10 - 16 = -8, so we know that's true

-80/-10 -16 = 8 - 16 = -8 ..

How many terms are in the following algebraic expression?
5x + 3y – 10
0
1
2
3
4
5
Help plz guys

Answers

Answer:

There are 3 terms

Step-by-step explanation:

5x, 3y, and 10 are terms so there are three. Terms a separated by signs (like + or -)

Equations
6) 2x + 3y = -1
3x + 4y = -4

Answers

Answer:

x = -8

y = 5

Step-by-step explanation:

2x = -3y-1

x = (-3y-1)/2

3x + 4y = -4

3[(-3y-1)/2]+4y = -4

(-9y-3/2)+4y = -4 (x2 all)

-9y-3+8y = -8

-9y+8y = -8+3

-y = -5

y = 5

3x+4.5 = -4

3x+20 = -4

3x = -24

x = -8

checking:

2.(-8)+3.5 = -1

-16+15 = -1 (checked)

PLZ HELP DUE IN 30 minutes

Answers

For the cube first we find the surface on one side which is 3x3=9ft^2

we have 6 sides 9x6=54ft^2

For the pyramid first we find the surface of the base which is 15x15=225in^2

next we find the surface of the sides which is 7*15/2=52.5in^2 52.5*4=210in^2

210+225=435in^2

Answer:

435 inches for pyramid 54ft for cube

Step-by-step explanation:

52.5 x 4=210

15 x 15 = 225

cube 3 x 3 ft equals 9 feet repeat for all 6 faces u get 54ft

What is the product of this multiplication?​

Answers

Answer:

69

Step-by-step explanation:

just cause

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