To solve the system of equations, we can use the method of substitution or elimination. In this case, let's use the method of elimination.
First, we'll multiply the second equation by -1 to make the coefficients of x the same.
Original equations:
2x + 8y = 8
2x - 4y = - 16
Modified equations:
2x + 8y = 8
-2x + 4y = 16
Now, let's add the two equations together to eliminate x:
(2x + 8y) + (-2x + 4y) = 8 + 16
12y = 24
y = 2
Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:
2x + 8(2) = 8
2x + 16 = 8
2x = -8
x = -4
So the solution to the system of equations is x = -4 and y = 2.
Solve the system of equations.
2x + 8y = 8
2x - 4y = - 16 (1 point)
1 answer