Question

Solve the following equations $x-2y-3=0$ and $4x+3y-1=0$ .
Find the coordinates of the point where $2$ lines intersect.

• A. $(1,-1)$
• B. $(2,-1)$
• C. $(1,1)$
• D. None of these

Answer 1

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

Above equation can be written as $x-2y=3---eqn\left(1\right)$ and

$4x+3y=1---eqn\left(2\right)$

Multiplying $eqn\left(1\right)$ with $4$ we get

$4x-8y=12---eqn\left(3\right)$

Substracting $eqn\left(2\right)$ from $eqn\left(3\right)$,we get

$-11y=11$ hence $y=-1$

Substituting $y=-1$ in $eqn\left(1\right)$ we get $x+2=3$ so $x=1$