Question

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

2x − 3y = 3
5x − 4y = 4

−1

0

x can be any number as there are infinitely many solutions to this system

There is no x value as there is no solution to this system

Answer 1

2x − 3y = 3
5x − 4y = 4

2x - 3y - 2x = 3
-3y = 3 - 2x
y = (2/3)x - 1

5x - 4y = 4
5x - 4((2/3)x - 1) = 4
5x - (8/3)x + 4 = 4
(15/3)x - (8/3)x + 4 = 4
(7/3)x + 4 = 4
(7/3)x = 0

x=0