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

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

Step-by-step 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!

one that is bigger than 3 1/2

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15