Question

Find the solution for the following pair of equations
$4y-3x=-7$
$3x-2y=5$

• A. $(-1,-4)$
• B. $(3,2)$
• C. $(2,\frac{1}{2})$
• D. $(1,-1)$

Answer 1

The correct option is D $(1,-1)$

Given,
$4y-3x=-7\dots \left(i\right)$
and $3x-2y=5$
$\Rightarrow 3x=5+2y\dots \left(ii\right)$

Step 1: Find the value of y
Substituting $3x=5+2y$ in $\left(i\right),$ we get
Equation $\left(i\right)$ $\to$ $4y-\left(3x\right)=-7$
$4y-(5+2y)=-7$
$\Rightarrow 4y-5-2y=-7\Rightarrow 2y=-7+5=-2\Rightarrow y=-1$

Step 2: Now, Find the value of x
Substitute $y=-1$ in equation $\left(ii\right)$
Equation $\left(ii\right)$ $\to$ $3x=5+2y$
$3x=5+2(-1)$
$\Rightarrow 3x=5-2=3\Rightarrow x=1$
$\therefore x=1,y=-1$

$\therefore$ Required solution for the given pair of equations is $(1,-1)$