Question

Solve the system algebraically.

2x + y - 10 = 0
x - y - 5 = 0

What is the value of y?

-5/3
0
5

Answer 1

Hey there! :D

We can just add the numbers together to create an equation we can solve.

2x+y-10=0

x-y-5=0

3x-15=0 <== expression added together

3x=15

Divide both sides by 3.

x=5

Now, plug that in to solve for y.

x-y-5=0

5-y-5=0

Add 5 to both sides.

5-y=5

Subtract 5.

y=0

y=0

I hope this helps!
~kaikers