Question

Which of the following ordered pairs is a solution of x +1/2 y = 1?

(-2, 6)
(2, -6)
(-2, -6)

Answer 1

(-2, 6) is a solution of
`x+(1)/(2) y=1`

Explanation:

Given equation:

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

Case1: substitute the points (-2, 6) in the given equation, we have,

=>
`x+(1)/(2) y=1`

=>
`(-2)+(1)/(2)*(6)=1`

=>
`(-2)+(6)/(2)=1`

=>
`-2+3=1`

=>
`1=1`

Case2 : substitute the points (2, -6) in the given equation, we have,

=>
`x+(1)/(2) y=1`

=>
`(2)+(1)/(2)*(-6)=1`

=>
`(2)+(-6)/(2)=1`

=>
`2-3=1`

=>
`-1\\eq1`

Case 3: substitute the points (-2, -6) in the given equation, we have,

=>
`x+(1)/(2) y=1`

=>
`(-2)+(1)/(2)*(-6)=1`

=>
`(-2)+(-6)/(2)=1`

=>
`-2-3=1`

=>
`-5=1`

=>
`-5\\eq1`