Write two solutions of the form $x = 0, y = a$ and $x = b, y = 0$ for each of the following equations.$5x - 2y = 10$

Given:

$5x - 2y = 10$

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:

$5x - 2y = 10$

Let $x=0$, this implies,

$5(0)-2y=10$

$\Rightarrow 0-2y=10$

$\Rightarrow y=\frac{10}{-2}=-5$

Therefore, $x=0, y=-5$ is a solution of the equation $5x - 2y = 10$.

Let $y=0$, this implies,

$5x-2(0)=10$

$\Rightarrow 5x=10$

$\Rightarrow x=\frac{10}{5}=2$

Therefore, $x=2, y=0$ is a solution of the equation $5x - 2y = 10$. 

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Updated on: 10-Oct-2022

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