Question
Draw the graph of the following linear equations in two variables: $\frac{\text{x}-2}{3}=\text{y}-3$
✓
Answer
We have, $\frac{\text{x}-2}{3}=\text{y}-3$
$\Rightarrow x - 2 = 3(y - 3)$
$\Rightarrow x - 2 = 3y - 9$
$\Rightarrow x = 3y - 9 + 2$
$\Rightarrow x = 3y - 7 ...(i)$
Putting $y = 2$, we get $x = 3(2) - 7 = -1$
Putting $y = 3$, we get $x = 3(3) - 7 = 2$
Thus, we have the following table giving two points on the line represented by the equation $\frac{\text{x}-2}{3}=\text{y}-3:$
Graph of the equation $\frac{\text{x}-2}{3}=\text{y}-3:$
$\Rightarrow x - 2 = 3(y - 3)$
$\Rightarrow x - 2 = 3y - 9$
$\Rightarrow x = 3y - 9 + 2$
$\Rightarrow x = 3y - 7 ...(i)$
Putting $y = 2$, we get $x = 3(2) - 7 = -1$
Putting $y = 3$, we get $x = 3(3) - 7 = 2$
Thus, we have the following table giving two points on the line represented by the equation $\frac{\text{x}-2}{3}=\text{y}-3:$
Graph of the equation $\frac{\text{x}-2}{3}=\text{y}-3:$
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