x-4y=8

3x +10= -2y

1 answer

To solve this system of equations, we can use either substitution or elimination method.

First, let's rearrange the equations to solve for y in terms of x:

1) x - 4y = 8
2) 3x + 10 = -2y

From equation 1, we have:
x - 4y = 8
x = 4y + 8

Substitute this into equation 2:
3(4y + 8) + 10 = -2y
12y + 24 + 10 = -2y
12y - 2y = -34
10y = -34
y = -34/10
y = -3.4

Now, substitute y back into the equation x = 4y + 8:
x = 4(-3.4) + 8
x = -13.6 + 8
x = -5.6

Therefore, the solution to the system of equations is x = -5.6 and y = -3.4.