(D) Given the equation: $3x - 2y = 12$To express $y$ in terms of $x$,we isolate $y$:Subtract $3x$ from both sides: $-2y = 12 - 3x$Multiply both sides

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(D) Given the equation: $3x - 2y = 12$To express $y$ in terms of $x$,we isolate $y$:Subtract $3x$ from both sides: $-2y = 12 - 3x$Multiply both sides by $-1$: $2y = 3x - 12$Divide by $2$: $y = \frac{3x - 12}{2}$Thus,the correct option is $D$.

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

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For the equation $3x - 2y = 12$,express $y$ in terms of $x$.

A
$\frac{3x + 12}{2}$
B
$\frac{12 - 3x}{2}$
C
$3x - 12$
D
$\frac{3x - 12}{2}$

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Mix Examples - Linear Equations in Two Variables

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For the equation $3x - 2y = 12$,express $y$ in terms of $x$.

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Any point on the line $y=x$ is of the form

Draw the graph of the equation represented by a straight line which is parallel to the $x$-axis and at a distance of $3$ units below it.

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

How many linear equations in $x$ and $y$ can be satisfied by $x = 1$ and $y = 2$?

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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:
$5x + 3y = 45$