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 * 5 ----------- i
5x − 4y = 4 * -2 ----------- ii

10x - 15y = 15
-10x + 8y = -8 adding the two

- 7y = 7
y = -1 substitute in i
2x - 3(-1) = 3
2x + 3 = 3
2x = 3-3
2x = 0
x = 0

so solution (0, -1)

so x = 0