Use the substitution method to solve the system of equations. 5x + 2y = 1 y = - x + 2

Plug in y to equation

Distribute

Subtract 4 on each side

Add like terms

Divide

Plug in x to y equation

Distribute add like terms

X = - 1

Step-by-step explanation:

Rewrite equations:

y = - x + 2; 5x + 2y = 1

Step: Solve y = - x + 2y = 1 for y:

y = - x + 2

Step: Substitute - x + 2 for y in 5x + 2y = 1:

5x + 2y = 1

5x + 2 (-x+2) = 1

3x + 4 = 1 (simplifiy both sides of the equation)

3x + 4 + - 4 = 1 + - 4

(Add - 4 to both sides)

3x = - 3

3x/3 = - 3/3 (Divide both sides by 3)

x = - 1