Question

What is the solution to the system of equations? y = -2x - 6, 4x - y = -3

1) (-15, 24)
2) (-7, 8)
3) (-5, 4)
4) I don't know

Answer 1

The solution to the system of equations is (-3/2, -3).

Step-by-step explanation:

To find the solution to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

1. Start with the first equation: y = -2x - 6.

2. Substitute this expression for y in the second equation: 4x - (-2x - 6) = -3.

3. Simplify the equation: 4x + 2x + 6 = -3.

4. Combine like terms: 6x + 6 = -3.

5. Subtract 6 from both sides: 6x = -9.

6. Divide both sides by 6: x = -9/6 or x = -3/2.

7. Substitute the value of x back into the first equation to find the value of y: y = -2(-3/2) - 6 = -3 + 6 - 6 = -3.

Therefore, the solution to the system of equations is (-3/2, -3).