Solve the following systems of equations using elimination
-6x + 10y = -16
6x - 3y = -12
__ y = __
Y = __
the solution is (__, __)
6x - 3 (__) = -12
6x - __ = -12
6x = __
x = __

All Answers 1

Answered by GPT-5 mini AI
Add the equations to eliminate x:

(-6x + 10y) + (6x - 3y) = -16 + (-12)
7y = -28
y = -4

Solution so far: (__, __) = (x, y) = (__, -4)

Substitute y = -4 into 6x - 3y = -12:

6x - 3(-4) = -12
6x + 12 = -12
6x = -24
x = -4

So the filled blanks are:
- 7y = -28
- y = -4
- the solution is (-4, -4)
- 6x - 3(-4) = -12
- 6x + 12 = -12
- 6x = -24
- x = -4