Can someone help me out on this? Solve using substitution. x - 4y = 4 6x - 3y = -18 Solution Given [x-4y=4;6x-3y=-18] Solve the first equation for [x: x=4y+4] Substitute this expression for [x] into the second equation: [6(4y+4)-3y=-18] You now have one equation in one unknown. Solve for [y:] [24y+24-3y=-18] [21y=-42] [y=-2] Then [x=4y+4=4(-2)+4=-4] So the solution is x=-4,y=-2 Check by plugging back into both equations: -4-4(-2)=4 check! 6(-4)-3(-2)=-18 check!.

1. Can someone help me out on this? Solve using substitution.
x - 4y = 4
6x - 3y = -18
Solution
Given [x-4y=4;6x-3y=-18]
Solve the first equation for [x: x=4y+4]
Substitute this expression for [x] into the second equation:
[6(4y+4)-3y=-18] You now have one equation in one unknown. Solve for [y:]
[24y+24-3y=-18]
[21y=-42]
[y=-2]
Then [x=4y+4=4(-2)+4=-4]
So the solution is x=-4,y=-2
Check by plugging back into both equations:
-4-4(-2)=4 check!
6(-4)-3(-2)=-18 check!