Question

Identify the correct answer which satisfies the linear equations:

$x+y=2$ and $x-y=4$

• A. $(3,-1)$
• B. $(3,1)$
• C. $(1,1)$
• D. $(2,3)$

Answer 1

Answer: (A)

$(3,-1)$

$x+y=2$---(1)
$x-y=4$---(2)
Substitute the values of first option $x=3$ and $y=-1$ in equations (1) and (2)
$\Rightarrow x+y=2$
$3+(-1)=2$
$2=2$
$\Rightarrow x-y=4$
$3-(-1)=4$
$4=4$
Therefore, the first option satisfied the linear equations.
Likewise substitute the value of second option $x=3,y=1$
$\Rightarrow x+y=2$
$3+1=2$
$4\ne 2$
$\Rightarrow x-y=4$
$3-1=4$
$2\ne 4$
Similarly, check the options to satisfy the linear equation.
Here, the first option satisfied the linear equation.
The solution is $(3,-1)$