(A) The given equation of the line is $3y = ax + 7$.Since the point $(3, 4)$ lies on the graph of this line,it must satisfy the equation.Substituting

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(A) The given equation of the line is $3y = ax + 7$.Since the point $(3, 4)$ lies on the graph of this line,it must satisfy the equation.Substituting $x = 3$ and $y = 4$ into the equation:$3(4) = a(3) + 7$$12 = 3a + 7$Subtracting $7$ from both sides:$12 - 7 = 3a$$5 = 3a$Dividing by $3$:$a = 5/3$Thus,the value of $a$ is $5/3$.

Class 9 Mathematics Linear Equations in Two Variables Textbook - Linear Equations in Two Variables

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If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$,find the value of $a$.

A
$5/3$
B
$3/5$
C
$7/3$
D
$3/7$

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Linear Equations in Two Variables

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Textbook - Linear Equations in Two Variables

Solve the equation $2x + 1 = x - 3$,and represent the solution$(s)$ on
$(i)$ the number line,
$(ii)$ the Cartesian plane.

Medium

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Check whether $(0, 2)$ is a solution of the equation $x - 2y = 4$.

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 $c$: $-2x + 3y = 6$.

Easy

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Given the point $(1, 2)$,find the equation of a line on which it lies. How many such equations are there?

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Draw the graph of the linear equation in two variables: $x - y = 2$.

Medium

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If the point $(3, 4)$ lies on the graph of the equation $3y = ax + 7$,find the value of $a$.

Similar Questions

Solve the equation $2x + 1 = x - 3$,and represent the solution$(s)$ on$(i)$ the number line,$(ii)$ the Cartesian plane.

Check whether $(0, 2)$ is a solution of the equation $x - 2y = 4$.

Express the following linear equation in the form $ax + by + c = 0$ and indicate the values of $a$,$b$,and $c$: $-2x + 3y = 6$.

Given the point $(1, 2)$,find the equation of a line on which it lies. How many such equations are there?

Draw the graph of the linear equation in two variables: $x - y = 2$.

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Solve the equation $2x + 1 = x - 3$,and represent the solution$(s)$ on
$(i)$ the number line,
$(ii)$ the Cartesian plane.