Question

What method would be best to solve this system of equations? (Addition, Subtraction, Subsitution) How would you solve it?
Please include steps, because I want to learn how to do this.

Answer 1

\[2x+y=-5\]\[x+3y=25\]

Answer 2

subtraction

2x+y=-5--------1
x+3y=25--------2

multiply the 2nd equation by 2
2(x+3y=25) --> 2x+6y=50

now subtract 2nd from 1st equation

2x+y=-5
-2x-6y=-50
------------
-5y=-55
y=-55/-5=11

now plug in y value into one of the equation

x+3(11)=25
x+33=25
x=25-33
x=-8

so x=-8 and y=11

Answer 3

Thank you :)