Question

Find a solution to the following system of equations. –2x + y = –3 –x + 2y = 3

A. (–21, –9)

B. (3, 3)

C. (–3, –9)

D. (0, 2)

Answer 1

-2x + y = -3.....multiply by -2
-x + 2y = 3
-----------------
4x - 2y = 6 (result of multiplying by -2)
-x + 2y = 3
----------------add
3x = 9
x = 9/3
x = 3

-2x + y = -3
-2(3) + y = -3
-6 + y = -3
y = -3 + 6
y = 3

solution is (3,3)