How would i answer
-3x+7y=-16
-9x+5y=16
Using Systems of equations by elimination?
-3x +7y = -16 ...(1)
-9x +5y = 16 ...(2)
Multiply equation (1) by 3 to get the coefficient of the x term the same as in equation (2):
-9x + 21y = -48 ...(3)
Now subtract equation (2) from equation (3) term by term (the x's vanish):
21y - 5y = -48 - 16
Simplify
16y = -64
Divide both sides by 16
y = -4
Substitute this back into equation (1)
-3x + 7*(-4) = -16
-3x -28 = -16
Add 28 to both sides
-3x = 12
Divide both sides by -3
x = -4
-3x +7y = -16 ...(1)
-9x +5y = 16 ...(2)
Multiply equation (1) by 3 to get the coefficient of the x term the same as in equation (2):
-9x + 21y = -48 ...(3)
Now subtract equation (2) from equation (3) term by term (the x's vanish):
21y - 5y = -48 - 16
Simplify
16y = -64
Divide both sides by 16
y = -4
Substitute this back into equation (1)
-3x + 7*(-4) = -16
-3x -28 = -16
Add 28 to both sides
-3x = 12
Divide both sides by -3
x = -4