Question

Solve this system of linear equations. Separate the x- and y-values with a comma.

2x = 9x - 14y

9x = 40 - 14y

Answer 1

x =
`(5)/(2)`, y =
`(5)/(4)`

Explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y =
`(5)/(4)`

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x =
`(5)/(2)`

hope this helps!