Question

Question

Solve the following system of equations.
Write your answer as an ordered pair in the form (x, y).
x = -3y-7
5x+6y =-8

Answer 1

(2, -3)

Explanation:

x= -3y-7

5x+6y=-8

1. Substitute x= -3y-7 into 5x+6y=-8 which becomes

5(-3y-7)+6y=-8

2. expand the brackets

-15y-35+6y=-8

3. simplify the equation

-9y-35=-8

4. from this we can find the value of y by adding 35 on each side and then dividing by -9 on each side

-9y=27

y=-3

5. so, the value of y is -3 to find the value of x we just substitute the value of y (-3) into the x=-3y-7

x= -3(-3)-7

expand the brackets and simplify the expression

x=9-7

x=2

6. so the value of x=2

7. your final answer will be (2, -3)