To find the solution to the system of equations, we can use the method of substitution or elimination.
One way to solve this system is by using the method of substitution.
From the second equation, we can isolate x by adding 4y to both sides:
2x = 4y - 16
Divide both sides by 2 to get:
x = 2y - 8
Now substitute this expression for x into the first equation:
2(2y - 8) + 8y = 8
Distribute the 2:
4y - 16 + 8y = 8
Combine like terms:
12y - 16 = 8
Add 16 to both sides:
12y = 24
Divide both sides by 12:
y = 2
Substitute this value of y back into the expression for x:
x = 2(2) - 8
x = 4 - 8
x = -4
Therefore, the solution to the system of equations is (x, y) = (-4, 2).
Solve the system of equations. (1 point)
2x+8y=8
2x−4y=−16
( , )
1 answer