Question

What is the value of the x variable in the solution to the following system of equations?

2x − 3y = 3
5x − 4y = 4

Answer 1

Let's use the addition/subtraction method.

Suppose we wish to eliminate variable x.

Mult the first eqn by 5: 10x - 15y = 15
Mult the 2nd eqn by -2: -10x+ 4y = -8

Add these two equations together: -11y = 7, and y = -7/11.

Subst. -7/11 for y in either given equation and find x.

Then your solution is (x,y) (subst. the values we've found for x and y).