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  $x+\frac{1}{2} y=1$

Step-by-step explanation:

Given equation:

$x+\frac{1}{2} y=1$

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

=> $x+\frac{1}{2} y=1$

=> $(-2)+\frac{1}{2}\times(6)=1$

=> $(-2)+\frac{6}{2}=1$

=> $-2+3=1$

=> $1=1$

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

=> $x+\frac{1}{2} y=1$

=> $(2)+\frac{1}{2}\times(-6)=1$

=> $(2)+\frac{-6}{2}=1$

=> $2-3=1$

=> $-1\neq1$

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

=> $x+\frac{1}{2} y=1$

=> $(-2)+\frac{1}{2}\times(-6)=1$

=> $(-2)+\frac{-6}{2}=1$

=> $-2-3=1$

=> $-5=1$

=> $-5\neq1$