Question

What is the value of y in the solution to the following system of equations?

5x - 3y = -3
2x - 6y = -6

A. -1
B. zero
C. 1
D. 2

Answer 1

Take the second equation:

2x -6y = -6

add 6y to both sides:

2x = -6 +6y

divide both sides by 2:

x = -3 +3y

Take other equation:

5x - 3y = -3

Substitute x equation:

5(-3+3y) - 3y = -3

which is:

-15 +15y - 3y = -3

now add 15 to both sides, combine terms and reduce

Answer 2

Thanks!