Chapter 1.1, Problem 24E

To determine

To solve the equation

  $y÷7=1$

Answer to Problem 24E

  $y=7$ is the solution.

Explanation of Solution

Given: Equation: $y÷7=1$

Formula Used:

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. 

Calculation:

Given: Equation: $y÷7=1$

To solve the equation, multiplying $5$ on both the sides as “multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. 

  $\begin{array}{l}y÷7=1\\ \frac{y}{7}=1\\ \frac{y}{7}\times 7=1\times 7\\ y=7\end{array}$

Thus, the solution is $y=7$ .

Now, putting the value of $y=7$ in the L.H.S. of the equation, we have:

  $\begin{array}{l}7÷7=\frac{7}{7}\\ 7÷7=1\end{array}$

And R.H.S. of the equation is $1$ .

Hence, L.H.S. $=$ R.H.S.

Thus, the solution is correct.

Conclusion:

Hence, the solution is $y=7$ .