State whether the following statement is true or false:
An equation in two variables has a unique solution.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B) The statement is False.
$A$ linear equation in two variables,typically represented as $ax + by + c = 0$,where $a, b,$ and $c$ are real numbers and $a, b \neq 0$,has infinitely many solutions.
For any value assigned to one variable,there exists a corresponding value for the other variable that satisfies the equation. Therefore,it does not have a unique solution.

Explore More

Similar Questions

At what point does the graph of the linear equation $x+y=5$ meet a line which is parallel to the $y$-axis,at a distance $2$ units from the origin and in the positive direction of the $x$-axis?

Solve the equation $2y + 1 = y + 4$ and represent the solution$(s)$ on $(1)$ the number line $(2)$ the Cartesian plane.

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$3x = 2y + 1.\overline{5}$

If $(2,0)$ is a solution of the linear equation $2x + 3y = k,$ then the value of $k$ is

$...$ is not a point on the graph of $3x + 2y = 18$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo