Solve the following pair of linear equations using a graph: $x+y=7$,$5x+2y=20$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(A) $x+y=7$
$\therefore y=7-x$
For $x=0, y=7-0=7$
For $x=7, y=7-7=0$
$x$ $0$ $7$
$y$ $7$ $0$

$\therefore$ Plot the ordered pairs $(0, 7)$ and $(7, 0)$ of the solution set of $x+y=7$ on the graph paper and draw the line by joining them.
$5x+2y=20$
$\therefore 2y=20-5x \quad \therefore y=\frac{20-5x}{2}$
For $x=0, y=\frac{20-0}{2}=10$
For $x=4, y=\frac{20-20}{2}=0$
$x$ $0$ $4$
$y$ $10$ $0$

$\therefore$ Plot the ordered pairs $(0, 10)$ and $(4, 0)$ of the solution set of $5x+2y=20$ on the graph paper and draw the line by joining them.
The intersection point (common point) of these two lines is $(2, 5)$,which satisfies both equations.
Thus,the solution of the pair of linear equations is $(2, 5)$.

Explore More

Similar Questions

Solve the following pairs of equations by cross-multiplication method:
$3x + y = 5$
$5x + 3y = 3$

Do the following equations represent a pair of coincident lines? Justify your answer.
$3x + \frac{1}{7}y = 3$
$7x + 3y = 7$

Solve the following pairs of linear equations: $\frac{2}{x} + \frac{3}{y} = \frac{9}{xy}, \quad \frac{4}{x} + \frac{9}{y} = \frac{21}{xy} \quad (x \neq 0, y \neq 0)$

Difficult
View Solution

Comparing the equation $x=4$ with the standard form $ax+by+c=0$,we get $b=\ldots \ldots \ldots$

From the pair of equations $x + 2y = 8 \dots(1)$ and $3x - 4y = -6 \dots(2)$,the first equation should be multiplied by ............. to eliminate $y$.

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