2x = 3y + 4.......................................… - 5y = 6
2x - 4 = 3y......................................… = 5y + 6---will come in handy later
2/3x - 4/3 = y
Substitution
2/3 (5y+6) -4/3 = y
10/3 y + 4 -4/3 = y
10/3 y + 8/3 = y --------> Subtract 10/3y
8/3 = -7/3y -----------> divide by -7/3 to get y
y = -8/7--------> Y
FIND X
X - 5Y = 6
X - 5(-8/7) = 6
X = 2/7
DOUBLE CHECKING:
2X = 3Y + 4
2(2/7) = 3(-8/7) + 4
4/7 = -24/7 + 4
4/7 = -24/7 + 28/7
4/7 = 4/7 ------------IT WORKS!!!
SO, ANSWER IS (2/7, -8/7)