Answer: (-5, -2)
Explanation:
We will substitute the first equation into the second and then solve for x. Then we will substitute x into the equation and solve for y.
Given:
5x + 3y = -31
Substitue:
5x + 3(x + 3) = -31
Distribute:
5x + 3x + 9 = -31
Combine like terms:
8x + 9 = -31
Subtract 9 from both sides of the equation:
8x = -40
Divide both sides by 8:
x = -5
Given:
y = x + 3
Substitute x into the equation and solve for y.
y = (-5) + 3
Combine like terms:
y = -2
We can also graph it. The point of intersection is the solution, see below.