Question

Your answer should be in the following form (x, y). Find the correct values for both x and y.

3x + y = 12
x = y + 8

Answer 1

To solve the given system of equations, substitute the value of x from the second equation into the first equation and solve for y. Then, substitute the value of y into the second equation to find x. The solution is (5, -3).

Step-by-step explanation:

To solve these equations:

1. Substitute the value of x from the second equation into the first equation: 3(y + 8) + y = 12.
2. Simplify the equation: 3y + 24 + y = 12.
3. Combine like terms: 4y + 24 = 12.
4. Subtract 24 from both sides: 4y = -12.
5. Divide by 4: y = -3.
6. Substitute the value of y into the second equation to find x: x = -3 + 8 = 5.

So the solution to the equations is (5, -3).