Question

What is the x-value of the solution to the system of equations?

5x + 4y = 8
2x - 3y = 17
​

Answer 1

C

Explanation:

took the test

Answer 2

x = 4

Explanation:

You can eliminate the y-variables by adding 4 times the second equation to 3 times the first:

3(5x +4y) +4(2x -3y) = 3(8) +4(17)

15x +12y +8x -12y = 24 +68 . . . . eliminate parentheses

23x = 92 . . . . . . . . . collect terms

x = 92/23 = 4 . . . . . divide by 23

The x-value of the solution is 4.