Question

What is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x − 4y = 4 Select one: a. −1 b. 0 c. x can be any number as there are infinitely many solutions to this system d. There is no x value as there is no solution to this system

Answer 1

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

Explanation:

2x − 3y = 3 5x − 4y = 4

5x - 4y = 4 -4y = -5x + 4 y = 5/4x - 1

2x - 3(5/4x - 1) = 3

2x - 15/4x + 3 = 3

-7/4x = 0

x = 0