Question

Can someone help me solve this again?By using substitution method..​

Answer 1

Answer:

x = 7 and y = -2

Given:

x = 5y + 17 _____first equation

2x + 3y = 8 ____second equation

Steps:

2x + 3y = 8

plug in x = 5y + 17 into second equation

2(5y + 17)+3y = 8        [ open the brackets ]

10y + 34 + 3y = 8

10y + 3y = 8 - 34        [ collect and group terms ]

13y = -26                    [ divide both sides by 13 ]

y = -2                          [ final answer ]

solve for x:

x = 5y + 17

x = 5(-2) + 17

x = 7

Answer 2

Answer:
{ × = 7
{y = -2

Solve the equation:
{ x = 5y + 17
{2x + 3y = 8

Substitute into one of the equations:
2(5y + 17) + 3y = 8

Apply the Distributive Property:
10y + 34 + 3y = 8

Combine like terms:
13y + 34 = 8

Rearrange variables to the left side of the equation:
13y = 8 - 34

Calculate the sum or difference:
13y = -26

Divide both sides of the equation by the coefficient of variable:
y = - 26/13

Cross out the common factor:
y = -2

Substitute into one of the equations:
x = 5 × ( -2) + 17

Calculate:
x = 7