Question

Solve the system of equations using multiplication.

3x – 3y = –3
5x – y = –13
What is the solution of the system?

A. (3,2)
B. (–3,–2)
C. +(2,3)
D. (–2,–3)

Answer 1

B. (-3, -2)

Explanation:

Multiply the first equation by -1/3 and add the result to the second equation.

-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13

4x = -12 . . . . simplify

x = -3 . . . . . . divide by 4

Substituting this into -1/3 times the first equation, we get ...

-(-3) +y = 1

y = -2 . . . . . . . subtract 3

The solution is (x, y) = (-3, -2).