Question

Find the solution for the following pair of equations
$2x+y=3$
$3x-y=7$

• A. $(1,1)$
• B. $(3,2)$
• C. $(2,-1)$
• D. $(-1,4)$

Answer 1

The correct option is C $(2,-1)$

Given pair of equations
$2x+y=3\dots \left(i\right)$
$3x-y=7\dots \left(ii\right)$

Step 1: Find the value of x
$\left(i\right)+\left(ii\right)\Rightarrow 2x+y+3x-y=3+7\Rightarrow 5x=10$
Dividing by $5$ on both the sides, we get
$\Rightarrow x=2$

Step 2: Find the value of y
Putting $x=2$ in $\left(i\right),$ we get
Equation $\left(i\right)\to 2\left(x\right)+y=3$
$2\times 2+y=3$
subtracting by $4$ on both sides
$\Rightarrow 4+y-4=3-4\Rightarrow y=-1\Rightarrow y=-1$
$\therefore x=2,y=-1$
$\therefore$ Required solution for the given equations is $(2,-1).$