Con

Consider the following system of equations:

2x + 3y = 45

x+y = 10

What is the x-value of the solution for this system?

Answer: x = - 15

Step-by-step 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.