Answer:
2x-3x=24____eqn 1
3x+4y=2____eqn 2
solve eqn 1 and 2 simultaneously using elimination method
eliminate x use the coefficients of x in the two equations to multiply each other i.e
3(2x-3y=24)
2(3x+4y=2)
6x-9y=72
6x+8y=4
eliminate x using the subtraction sign(-)
6x-6x-9y-(+8y)=72-4
-9y-8y=68
-17y=68
divide both side by the coefficient of y
y=68/-17
y=-4
put y=-4 in eqn 2
3x+4y=2
3x+4(-4)=2
3x-16=2
collect like term
3x=2+16
3x=18
divide both side by the coefficient of x
x=18/3
x=6
since we're asked to find x-y
6-(-4)
6+4=10
