Question

Solve the system of linear equations:

3x + 4y = -18

y = -4x - 11

A) x = -3, y = 4

B) x = -6, y = 17

C) x = 3, y = -4

D) x = -5, y = 9

Answer 1

To solve the system of linear equations, we can use the method of substitution or elimination. Using the method of substitution, the solution to the system of linear equations is x = -3, y = -3.

Step-by-step explanation:

To solve the system of linear equations, we can use the method of substitution or elimination. Let's use the method of substitution.

First, solve one of the equations for one variable. In this case, we can solve the second equation for x: x = (-y - 11) / 4.

Next, substitute this value of x into the first equation: 3((-y - 11) / 4) + 4y = -18. Simplify this equation: -3y - 33 + 16y = -72, which becomes 13y = -39. Divide both sides of the equation by 13: y = -3.

Finally, substitute this value of y back into the second equation to find x: x = (-(-3) - 11) / 4 = -3. So, the solution to the system of linear equations is x = -3, y = -3.