Answer:
x = 4.5 and y = -3.5
Step-by-step explanation:
To find the solution to this system of equations using the substitution method, you must solve for either the x or y variable and then substitute into the other equation.
x = (y + 8)
5x + 3y = 12
We will use the first equation to solve for x. The x has to be isolated on one side. Since the first equation already has x on the one side, we can plug it into the other equation.
5(y+8) + 3y = 12
Distribute and solve:
5y + 40 + 3y = 12
8y + 40 = 12
8y = 12-40
8y = -28
y = -3.5
Now we have the y variable, we can plug that back into the first equation to find x.
x = (-3.5) + 8
x= 4.5
Your answer will be x = 4.5 and y = -3.5
