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

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).

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