Easy
State whether the following statement is true or false:
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.
(B) To determine if the statement is true or false,we substitute the coordinates $(x, y) = (5, -2)$ into the given equation $5x + 2y = k$.
Substituting $x = 5$ and $y = -2$:
$5(5) + 2(-2) = k$
$25 - 4 = k$
$21 = k$
Since the calculated value of $k$ is $21$ and not $0$,the statement is False.
Substituting $x = 5$ and $y = -2$:
$5(5) + 2(-2) = k$
$25 - 4 = k$
$21 = k$
Since the calculated value of $k$ is $21$ and not $0$,the statement is False.
Explore More
Similar Questions
If $(2,3)$ is a solution of the equation $7x - 3y = a$ and $(a, a+1)$ is a solution of the equation $2x + y = b$,find the values of $a$ and $b$.
Medium
View SolutionIf $(5, 2)$ is one of the solutions of the equation $x + 3y = k$,then $k = \ldots$
Easy
View SolutionExpress the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$x = \frac{2}{5}y + 10$
$x = \frac{2}{5}y + 10$
Easy
View SolutionFor the equation $ax + by + c = 0$,if $c = 0$,then its graph is a line passing through the $\ldots \ldots \ldots$.
Easy
View SolutionDraw the graph of the equation represented by the straight line which is parallel to the $x$-axis and is $4$ units above it.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo