Question

What is the solution to the system of equations below 2x - y = 10 and y=1/2 x+5​

Answer 1

(10, 10 )

Explanation:

Given the 2 equations

2x - y = 10 → (1)

y =
`(1)/(2)` x + 5 → (2)

Substitute y =
`(1)/(2)` x + 5 into (1)

2x - (
`(1)/(2)` x + 5) = 10 ← distribute parenthesis on left side by - 1

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

`(3)/(2)` x - 5 = 10 ( add 5 to both sides )

`(3)/(2)` x = 15 ( multiply both sides by 2 to clear the fraction )

3x = 30 ( divide both sides by 3 )

x = 10

Substitute x = 10 into (2) and evaluate for y

y =
`(1)/(2)` (10) + 5 = 5 + 5 = 10

solution is (10, 10 )