Question

Solve the following pairs of equations, graphically :

$4x+3y=1$ and $2x-y=3$

• A. $(1,0)$
• B. $(1,-1)$
• C. $(2,-1)$
• D. $(2,-3)$

Answer 1

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

Given,
$4x+3y=1$
$\Rightarrow y=\frac{1-4x}{3}$
Substituting different values of $x$ to get corresponding values of $y$, we get
$(0,\frac{1}{3}),(1,-1),(-1,\frac{5}{3}),(2,-\frac{7}{3}),(-2,3)$
Plotting these points on the graph, we get the graph of the equation, $4x+3y=1$
Similarly,
Given second eqn,
$2x-y=3$
$\Rightarrow y=2x-3$
Substituting different values of $x$ to get corresponding values of $y$, we get
$(1,-1),(0,-3),(2,1),(-1,-5),(3,3)$
Plotting these points on the graph, we get the graph of the equation, $2x-y=3$
The point of intersection of the graphs of the lines is the solution of the equations which is $(1,-1)$