Write two solutions of the form $x = 0, y = a$ and $x = b, y = 0$ for each of the following equations.

$2x + 3y = 24$

Given:

$2x + 3y = 24$

To do:

We have to write two solutions of the form $x = 0, y = a$ and $x = b, y = 0$ for the given equation.

Solution:

$2x + 3y = 24$

Let $x=0$, this implies,

$2(0)+3y=24$

$\Rightarrow 0+3y=24$

$\Rightarrow y=\frac{24}{3}=8$

Therefore, $x=0, y=8$ is a solution of the equation $2x + 3y = 24$.

Let $y=0$, this implies,

$2x+3(0)=24$

$\Rightarrow 2x=24$

$\Rightarrow x=\frac{24}{2}=12$

Therefore, $x=12, y=0$ is a solution of the equation $2x + 3y = 24$.   

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Updated on: 10-Oct-2022

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