Question

i need help wth this question If 6x - 3y = 30 and 4x = 2 - y then find x + y.

Answer 1

can someone please help me

Answer 2

Get the second equation in y=mx+b format
(4x=2-y) add y to both sides
(4x+y=2) subtract 4x from both sides
(y=-4x-2) Plug this into the first equation
{6x-3*(-4x+2)=30} distribute the -3
(6x+12x-6=30) Add 6 to both sides
(6x+12x=30+6) Combine like terms
(18x=36) divide by 18
x=2
Plug this back into the second equation
(4*(2)=2-y)
(8=2-y) subtract 2 from both sides
(6=-y) negative variables is a no no .... change all the signs
y=-6
Plug x and y into x+y
(2+(-6))
-4