Question

What is the solution to the system of equations below 2X minus Y equals 10 and Y equals -1/2 X plus 5

Answer 1

x = 2 , y = 4.

(2,4)

Explanation:

Simultaneous equation:

2x - y = 10 E1

y =
`-(1)/(2)x` + 5 E2

Substitute equation 2 into equation 1 for the y value.

2x -
`-(1)/(2)x` + 5 = 10

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

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

`(5)/(2) x` = 5

x = 2

Substitute the x value into equation 2.

y =
`-(1)/(2)2` + 5

y = -1 + 5

y = 4