Question

Choose the correct answer which satisfies the linear equations: $x+y=7$ and $x-y=3$

• A. $(5,-2)$
• B. $(5,2)$
• C. $(5,-3)$
• D. $(5,3)$

Answer 1

The correct option is B $(5,2)$

$x+y=7$ ----- (1)
$x-y=3$ ----- (2)
Substitute the values of first option $x=5$ and $y=-2$ in equations 1 and 2
$x+y=7$
$5-2=7$
$3\ne 7$
$x-y=3$
$5+2=3$
$7\ne 3$
Therefore, the first option not satisfied the linear equations.
Likewise substitute the value of second option $x=5,y=2$
$x+y=7$
$5+2=7$
$7=7$
$x-y=3$
$5-\left(2\right)=3$
$3=3$
Similarly, check the options to satisfy the linear equation.
Here, the second option satisfied the linear equation.
The solution is $(5,2)$