What is the x-value of the solution of the system of

equations given below

y = 5x + 9

y=-x + 3

x = - 1, y = - 4

Step-by-step explanation:

Let's solve our system of equations by substitution.

y = 5x + 9y = - x + 3

Step: Solve = 5x + 9 for y:

y = 5x + 9

Step: Substitute 5x + 9 for y in y = - x + 3:

y = - x + 3

5x + 9 = - x + 3

5x + 9 + x = - x + 3 + x (Add x to both sides)

6x + 9 = 3

6x + 9 + - 9 = 3 + - 9 (Add - 9 to both sides)

6x = - 6

6x / 6 = - 6/6 (Divide both sides by 6)

x = - 1

Step: Substitute - 1 for x in y = 5x + 9:

y = 5x + 9

y = (5) (-1) + 9

y = 4 (Simplify both sides of the equation)

So our answers are y = - 4 and x = - 1.