Solve the following system of equations to find 𝑥. 6𝑥−3𝑦=−48  6𝑥+9𝑦=−24   Group of answer choices𝑥=3 𝑥=−2 𝑥=2 𝑥=7 𝑥=−7

To solve the system of equations for x, follow these steps:

1. Write down the system of equations:

   6x - 3y = -48 6x + 9y = -24

2. To eliminate one of the variables, subtract the second equation from the first:

   (6x - 3y) - (6x + 9y) = -48 - (-24)

   This simplifies to:

   -12y = -24

3. Solve for y by dividing both sides of the equation by -12:

   y = -24 / -12 = 2

4. Substitute y = 2 into the first equation:

   6x - 3*2 = -48

   This simplifies to:

   6x - 6 = -48

5. Add 6 to both sides of the equation to isolate 6x:

   6x = -48 + 6 = -42

6. Divide both sides of the equation by 6 to solve for x:

   x = -42 / 6 = -7

So, the solution to the system of equations is x = -7.