Q:

Can someone please have a heart to help me this is for a grade

Accepted Solution

A:
Hey there! Let's start by solving for x. Take the first equation, y = -3x - 7, and substitute in the second equation, y = x + 9, for y. We now have: x + 9 = -3x - 7 Add 3x to both sides. 4x + 9 = -7 Subtract 9 from both sides. 4x = -16 Divide each side by 4. x = -4 Let's use the second equation, y = x + 9, to solve for x. Put in the value we just solved for. We now have: y = -4 + 9 Simplify. y = 5 Let's check our answer, starting with the first equation, y = -3x - 7. Put in the values for x and y. 5 = -3(-4) - 7 5 = 12 - 7 5 = 5 Do the same with the second equation, y = x + 9. 5 = -4 + 9 5 = 5 The solution to the system of equations is (5, -4). Hope this helps!