Question

For the given linear equation $x-2y=1$, match the different $x$ values with their corresponding $y$ values.

• A. $-1$
• B. $0$
• C. $\frac{1}{2}$
• D. $-\frac{3}{2}$

Answer 1

Given equation is: $x-2y=1$
Each different $x$ value correponds to a different $y$ values.

$\Rightarrow$ Substitute $x=-1$ in the given equation
$-1-2y=1$
$-2y=1+1$
$2y=-2$
$y=-1$

$\Rightarrow$ Substitute $x=1$ in the given equation
$1-2y=1$
$-2y=1-1$
$2y=0$
$y=0$

$\Rightarrow$ Substitute $x=2$ in the given equation
$2-2y=1$
$-2y=1-2$
$-2y=-1$
$y=\frac{1}{2}$

$\Rightarrow$ Substitute $x=-2$ in the given equation
$-2-2y=1$
$-2y=1+2$
$-2y=3$
$y=-\frac{3}{2}$