(A) Given that $(2, -3)$ is a solution of the equation $3x + ky = 18$.This means that when we substitute $x = 2$ and $y = -3$ into the equation,it mus

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(A) Given that $(2, -3)$ is a solution of the equation $3x + ky = 18$.This means that when we substitute $x = 2$ and $y = -3$ into the equation,it must satisfy the equality.Substituting the values: $3(2) + k(-3) = 18$.$6 - 3k = 18$.Subtract $6$ from both sides: $-3k = 18 - 6$.$-3k = 12$.Divide by $-3$: $k = 12 / -3$.Therefore,$k = -4$.

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

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If $(2, -3)$ is a solution of the equation $3x + ky = 18$,find the value of $k$.

A
$k = -4$
B
$k = 4$
C
$k = -8$
D
$k = 8$

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Linear Equations in Two Variables

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Mix Examples - Linear Equations in Two Variables

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If $(2, -3)$ is a solution of the equation $3x + ky = 18$,find the value of $k$.

Similar Questions

Draw the graph of the equation represented by the straight line which is parallel to the $x$-axis and is $4$ units above it.

How many solution$(s)$ of the equation $2x + 1 = x - 3$ are there on the:$(i)$ Number line$(ii)$ Cartesian plane

Find the points where the graph of the equation $3x + 4y = 12$ cuts the $x$-axis and the $y$-axis.

The graph of $y=6$ is a line

Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case:$0.2x + 0.5y = 1.2$

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How many solution$(s)$ of the equation $2x + 1 = x - 3$ are there on the:
$(i)$ Number line
$(ii)$ Cartesian plane

Write the following equation in the standard form $ax + by + c = 0$ and indicate the values of $a, b,$ and $c$ in each case:
$0.2x + 0.5y = 1.2$