Question

Which ordered pair is the solution to the system of equations? -3x + 4y = -20, y = x - 4

1) (-4, -8)
2) (0, -5)
3) (4, 8)
4) (-2, -6)

Answer 1

The solution to the system of equations -3x + 4y = -20 and y = x - 4 is (x, y) = (-4, -8).

Step-by-step explanation:

To find the solution to the system of equations -3x + 4y = -20 and y = x - 4, we can substitute the value of y from the second equation into the first equation. Substituting y = x - 4, we get -3x + 4(x - 4) = -20.

Simplifying, we get -3x + 4x - 16 = -20. Combining like terms, we get x - 16 = -20.

Adding 16 to both sides, we get x = -4.

Now, substitute this value back into the second equation to find the value of y. Substituting x = -4 into y = x - 4, we get y = -4 - 4 = -8.

Therefore, the ordered pair (x, y) = (-4, -8) is the solution to the system of equations.