Question

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

Answer 1

Step 1: Finding the value of $y$ when $x=0$:

The given equation is $5x-2y=10$…………..(1)

substitute $x=0$ in (1), we get

$5\left(0\right)-2y=10$

⇒ $-2y=10$

⇒ $y=-5$
Thus, $x=0$ and $y=-5$ is a solution of $5x-2y=10$ .

Step 2: Finding the value of $x$ when $y=0$:

substitute $y=0$ in (1), we get

$5x-2\left(0\right)=10$
⇒ $5x=10$

⇒ $x=2$.
Thus, $x=2$ and $y=0$ is a solution of $5x-2y=10$.

Therefore , $x=0$, $y=-5$ and $x=2$, $y=0$ are the solutions of $5x-2y=10$.