What is the solution to the system of equations?7x + 3y = -8-4x - y = 6

Sure, let's solve this system of equations step by step.

Step 1: Write down the system of equations:

7x + 3y = -8 -4x - y = 6

Step 2: Multiply the second equation by 3 to make the y-coefficients equal in both equations:

-12x - 3y = 18

Now the system of equations is:

7x + 3y = -8 -12x - 3y = 18

Step 3: Add the two equations together:

7x - 12x = -8 + 18 -5x = 10

Step 4: Solve for x:

x = 10 / -5 x = -2

Step 5: Substitute x = -2 into the first equation:

7(-2) + 3y = -8 -14 + 3y = -8 3y = -8 + 14 3y = 6

Step 6: Solve for y:

y = 6 / 3 y = 2

So, the solution to the system of equations is x = -2 and y = 2.