Answer: x = 3/2, y = 0
Equation:
2x - 3y = 3
(add 3y to both sides)
2x - 3y + 3y = 3 + 3y = 2x = 3 + 3y
(divide by 2 on both sides to isolate x)
2x / 2 = (3 + 3y) / 2
x = (3 + 3y) / 2
x = 3/2y + 3/2
then, for y, plug in equation for x value to original:
2x - 3y = 3 -------> 2(3/2y + 3/2) - 3y = 3
solve for y:
(distribute the 2 outside of parenthesis)
2(3/2y + 3/2) - 3y = 3
(reduce/simplify fractions)
6/2y + 6/2 - 3y = 3
3y + 3 - 3y = 3
0 + 3 = 3
3 = 3
so y = 0
place value for y into x equation to figure x value.
x = 3/2y + 3/2
x = 3/2(0) + 3/2
x= 0 + 3/2
x=3/2
Check (place x & y values into original equation):
2x - 3y = 3
2(3/2) - 3(0) = 3
6/2 - 0 = 3
3 = 3
