Answer
x = -3
y = 1
Work Step by Step
3y - x = 6
4x +12y = 0
to the first equation minus 3y to both sides
3y - x -3y = 6 - 3y
-x = 6 - 3y multiply by -1 to both sides
x = -6 + 3y substitude x to the second equation
4 ( -6 + 3y ) + 12y = 0 use the distributive property
-24 + 12y + 12y = 0 simplify
-24 + 24y = 0 add 24 to both sides
-24 + 24y + 24 = 0 + 24
24y = 24 divide both sides by 24
y = 1 substitude y for 1 to the
x = -6 + 3y
x = -6 + $3\times1$
x = -6 +3
x = -3