Question

How do you rewrite the equation 2x+y=5 so that x is a function of y and then use the result to find x when y= -2, -1, 0 and 1?

Answer 1

See below.

Explanation:

`2x + y = 5 => 2x = 5 - y`: subtracting `y` from both sides.

`2x = 5 - y => x = (5 - y)/2` : dividing both sides by 2.

`y = -2 => x = (5 - (-2))/2 =>x = 7/2` ( 3.5 )

`y = -1 => x = (5 - (-1))/2 =>x = 3`

`y = 0 => x = (5 - (0))/2 =>x = 5/2` ( 2,5 )

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