Y = 3x - 10

y = 2x - 5

Use subtraction method ...

Y - 3X = - 10

(-Y - 2x = - 5) - Y + 2X = 5

so ...

Y - 3X = - 10

-Y + 2X = 5

-X = - 5

X = 5 Now fill in the 5 for X and Y = 5

If you're looking for a solution for both equations and had a choice between the 3 ways of solving it, I would choose substitution for this problem. So ...

2x-5=3x-10

Move like terms to their own sides.

Take 2x away from both sides, and add 10 to both sides. That should leave you with

5=x

Now that you have the x, plug it into the equation that works best for you to solve.

That should be y=2 (5) - 5

y=10-5

y=5

(5,5) is your solution.