Chapter 8.3, Problem 7CYU

To determine

To calculate:To find twosolutions for the below linear equation and explain each solution−

  $y=10x$

Answer to Problem 7CYU

The two solutions are $\left(1,10\right)$ and $\left(2,20\right)$ .

This means, when Toshiko works for $1$ hour, he earns $10$ money.

And, when Toshiko works for $1$ hours, he earns $20$ money.

Explanation of Solution

Given information:

Equation is $y=10x$

Formula Used:

To solve an equation with multiple variables, we need to consider some random values for one of the variables and solve for the other one to find the solution.

Calculation:

Given equation is $y=10x$

Using the above explanation, we have -

Let the value of $x$ be $1$ , substituting the value of $x$ in the above equation, we have:

  $y=10\left(1\right)$

Solving the above equation, we have :

  $y=10$

Thus, the first solution is $\left(1,10\right)$ .

This means, when Toshiko works for $1$ hour, he earns $10$ money.

Using the same approach to find the other solution −

Let the value of $x$ be $2$ , substituting the value of $x$ in the above equation, we have:

  $y=10\left(2\right)$

Solving the above equation, we have :

  $y=20$

Thus, the second solution is $\left(2,20\right)$ .

This means, when Toshiko works for $1$ hours, he earns $20$ money.