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

5x - 3y = -11
2x - 6y = -14

Question

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

5x - 3y = -11
2x - 6y = -14

anonymous · Answer

@TrojanPoem

anonymous · Answer

Can you try to explain your work more? I got lost when I was trying to do this one.

trojanpoem · Answer

Ok, take the 2 equations:

to eliminate one of the variables , they must have the same coefficient , so we will
multiply each equation times the coefficient of the variable we want to eliminate  

-30 x  + 18y = 66
6x       - 18 y = -42

-24x = 24
x = -1

now plug x in any simple equation 
5x - 3y = -11

-5 -3y = -11
-3y = -6
y = 2

anonymous · Answer

Thank you so much!! I think I get it now! Do you know how to figure out equations with 3 variables?

denisaboichuk · Answer

y=2