Question

If x + 2y = 8, and x - y = 5, what is the value of x?

Answer 1

x = 6

Explanation:

Let's solve y for x + 2y = 8.

x + 2y = 8

2y = -x + 8

y =
`-(1)/(2)`x + 4.

Let's solve y for x - y = 5.

x - y = 5

y = x - 5

Since both equations have been solved for y, we can combine them together into one!

x - 5 =
`-(1)/(2)`x + 4

x
`+ (1)/(2)`x = 4 + 5

1.5x = 9

x = 6

Hope this helped! If not, please let me know!