SAT Mathematics Practice Test 3

Multiplying each side of the equation 2x − 3y = −14 by3 gives 6x − 9y = −42.
Multiplying each side of the equation 3x − 2y = −6 by2 gives 6x − 4y = −12.
Then, subtracting the sides of 6x − 4y = −12 from thecorresponding sides of 6x − 9y = −42 gives −5y = −30.
Dividing each sideof the equation −5y = −30 by −5 gives y = 6.
Finally, substituting 6 for y in2x − 3y = −14 gives 2x − 3(6) = −14, or x = 2.
Therefore, the value of x − y is2 − 6 = −4.