Answer: x = -15
Explanation:
You can solve in multiple ways:
For example, using substitution, solve for y or x, then plug into the other equation. Since you only want the x value for the solution of the system, solve for y (in terms of x) first.
y = 10 - x
plug into first equation:
2x + 3(10-x) = 45
2x+30-3x=45
-x = 15
which is equivalent to x = -15.
side note:
using this x value, you can find y by plugging into either equation:
-15+y=10
y=25.