Question

6x + 12y = -6
3x - 2y = -27
Choose a method of solving to solve for the solution.

Answer 1

To solve the system of equations 6x + 12y = -63 and -3x - 2y = -27, multiply the second equation by 2, add the equations, solve for y, substitute the value back into an equation to solve for x, and find the solution to be x = 18.75, y = -14.625.

Step-by-step explanation:

To solve the system of equations:

6x + 12y = -63

-3x - 2y = -27

1. Multiply the second equation by 2 to make the coefficients of y in both equations the same:

• -6x - 4y = -54

Add the equations:

• 6x + 12y = -63
• -6x - 4y = -54

The x variable cancels out, leaving:

• 8y = -117

Divide both sides by 8:

• y = -14.625

Substitute the value of y back into one of the original equations:

• 6x + 12(-14.625) = -63

Simplify and solve for x:

• 6x - 175.5 = -63
• 6x = 112.5
• x = 18.75

The solution to the system of equations is:

• x = 18.75, y = -14.625