Question

Solve the system of equations 3x-y=-27 and 4x+2y=-6 by combining the equations

Answer 1

(-6, 9) is the solution set for given system.

Explanation:

Given that:

3x-y=-27 ----------- eq1

4x+2y=-6 --------- eq2

Solving by combining the equations:

Dividing eq2 by 2 we get:

2x + y = -3 ------- eq3

Now add eq1 and eq3, we get:

5x = -30 (y from both equations will be cancelled out)

Dividing both sides by 5:

x = -6

Now putting value of x back in eq3:

2(-6) + y = -3

-12 + y = -3

Adding 12 on both sides:

y = -3 + 12

y = 9

So the solution set for given system is (-6, 9)

i hope it will help you!