(A) linear equation of the form $ax + by = k$ represents a line passing through the origin $(0, 0)$ if and only if the constant term $k$ is equal to $

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(A) linear equation of the form $ax + by = k$ represents a line passing through the origin $(0, 0)$ if and only if the constant term $k$ is equal to $0$.Substituting the coordinates of the origin $(x = 0, y = 0)$ into the given equation $3x + 7y = k$:$3(0) + 7(0) = k$$0 + 0 = k$$k = 0$Therefore,the value of $k$ is $0$.

Class 9 Mathematics Linear Equations in Two Variables Mix Examples - Linear Equations in Two Variables

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The graph of the equation $3x + 7y = k$ is a line passing through the origin. Then,$k = \ldots$

A
$0$
B
$3$
C
$7$
D
$-\frac{7}{3}$

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Linear Equations in Two Variables

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Mix Examples - Linear Equations in Two Variables

The total cost of $3$ sweetlimes and $6$ oranges is ₹ $210$. Show this statement as a linear equation in two variables.

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$A$ linear equation in two variables is of the form $ax + by + c = 0$,where

Easy

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Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$5x + 3y = 45$

Easy

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For the equation $5x + 3y = 90$,if $x = 12$,then $y = \dots$

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Determine which of the given equations is represented by the graph shown in the figure below.

Medium

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The graph of the equation $3x + 7y = k$ is a line passing through the origin. Then,$k = \ldots$

Similar Questions

The total cost of $3$ sweetlimes and $6$ oranges is ₹ $210$. Show this statement as a linear equation in two variables.

$A$ linear equation in two variables is of the form $ax + by + c = 0$,where

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:$5x + 3y = 45$

For the equation $5x + 3y = 90$,if $x = 12$,then $y = \dots$

Determine which of the given equations is represented by the graph shown in the figure below.

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Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a, b$ and $c$ in each case:
$5x + 3y = 45$