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

B

Step-by-step explanation:

We need to solve for    here.

Equation 1:  

Equation 2:  

Solving for  in Equation 1 and substituting that into Equation 2 gives us:

Substituting this expression into Equation 2 and solving for  gives us:

 is the solution. Answer choice B is correct.

32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864

LCM of 32 and 27 is B. 864

Hope this helps. :)