Question

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

3x − 6y = 3
7x − 5y = −11

a. −2

b.−3

c. x can be any number as there are infinitely many solutions to the system.

d.There is no x value as there is no solution to the system

Answer 1

you can use substitution method.

Answer 2

3x − 6y = 3
7x − 5y = −11

Multiply first equation by −7, and second equation by 3, then add:
−21x + 42y = −21
21x − 15y = −33
----------------------
0x + 27y = −54
y = −2