Question

What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 4
x - 2y = -5

Answer 1

The best thing to do is to use substitution to answer this question.

You can re-arrange the second equation to get \[x = -5 - 2y = -(5+2y)\]

Then substitute this into the first equation to get:

\[2(-5-2y) + 3y = 4\]

This can be simplified to \[-10 - 7y = 4\] so 7y = 14 and y = 2.

Substitute this into the second equation (this is easiest!) to get x - 4 = -5, so x = -1

Summarising, x = -1 and y = 2. Hope this helps!

Answer 2

WOW! Thanks so much!