(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

Write the following as an equation in two variables:
$3y = -11$

Easy

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Write four solutions for the following equation: $4x - 3y = 24$.

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Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

Easy

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The equation $x=7$,in two variables,can be written as

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State whether the following statement is true or false:
In a Cartesian plane,the graph of $3x = 15$ is a line parallel to the $x$-axis.

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

Similar Questions

Write the following as an equation in two variables:$3y = -11$

Write four solutions for the following equation: $4x - 3y = 24$.

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

The equation $x=7$,in two variables,can be written as

State whether the following statement is true or false:In a Cartesian plane,the graph of $3x = 15$ is a line parallel to the $x$-axis.

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Write the following as an equation in two variables:
$3y = -11$

State whether the following statement is true or false:
In a Cartesian plane,the graph of $3x = 15$ is a line parallel to the $x$-axis.