Final answer:
To find the solution to the system of equations -3x + 4y = -20 and y = x - 4, substitute the value of y from the second equation into the first equation. The solution is (-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. This gives us: -3x + 4(x - 4) = -20. Simplifying, we get -3x + 4x - 16 = -20. Combining like terms, we have x - 16 = -20. Adding 16 to both sides, we get x = -4. Now, substitute this value of x into either equation to find the value of y. Using the second equation, y = -4 - 4, which gives us y = -8. Therefore, the ordered pair (-4, -8) is the solution to the system of equations.