Graph of linear equation 2 x +3 y =6 is a line which meets x -axis at point

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4. Linear Equations in Two Variables

easy

The graph of the linear equation $2 x +3 y =6$ is a line which meets the $x$ -axis at the point

A

$(0,2)$

B

$(2,0)$

C

$(0,3)$

D

$(3,0)$

Solution

The graph of the linear equation $2 x+3 y=6$ is a line which meets the $x$ -axis at the point where $y=0$

Now putting $y =0$ in $2 x +3 y =6,$ we get

$2 x+3(0)=6 \Rightarrow 2 x=6 \Rightarrow x=6 \div 2=3$

So, $(3,0)$ is a point on the line $2 x+3 y=6$.

Standard 9

Mathematics

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