If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?

2x-3x=24eqn 1

3x+4y=2eqn 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