Question

What is solution for the following system of equations, 2x+8y=4 and x=-3y+5

1) X=14 Y=-3
2) X=2 Y=-3
3) X=-3 Y=-3
4)X=12 Y=5

Answer 1

1) x=14 and y=-3

Explanation:

To solve the system of equations, substitute x = -3y+5 into the equation 2x + 8y = 4 for x. This becomes 2(-3y+5) +8y = 4. To solve, apply the distributive property, combine like terms and isolate y.

2(-3y+5)+8y=4

-6y+10+8y=4

10+2y=4

10-10+2y=4-10

2y=-6

y=-3

Then to find x, substitute y =-3 into x =-3y+5.

x = -3(-3) + 5

x = 9 + 5

x = 14