Answer:
x = 42/17
y = -12/17
Explanation:
4x - 3y = 12
3x + 2y = 6
use the elimination method (definition at the bottom of the page)
multiply both sides of the equation 4x - 3y = 12 by 2
8x - 6y = 24
multiply both sides of the equation 3x + 2y = 6 by 3
9x + 6y = 18
now, add the two equations:
17x = 42
x = 42/17
now, plug this into the equation 3x + 2y = 6
126/17 + 2y = 6
2y = -24/17
y = -12/17