Question

For the given equations $x+y=2$ and $x-y=3$ find the value of $x$ and $y$.

Answer 1

Step 1: Calculate $x$

The given equations are

$x+y=2...................\left(1\right)$

$x-y=3...................\left(2\right)$

Adding equation $\left(1\right)$ and $\left(2\right)$ we get

$x+y+x-y=2+3$

$\Rightarrow$ $2x=5$

$\Rightarrow$ $x=\frac{5}{2}$

Step 2: Calculate $y$

Substitute the value of $x$ is equation $\left(1\right)$ to get

$\frac{5}{2}+y=2$

$\Rightarrow$$5+2y=4$

$\Rightarrow$ $2y=-1$

$\Rightarrow$ $y=-\frac{1}{2}$

Hence, the values of $x$ and $y$ are $\frac{5}{2}$ and $-\frac{1}{2}$.