Chapter 1.2, Problem 11E

To determine

To calculate: To solve the equation and check your solution

Answer to Problem 11E

Solution of equation is $y=4$

Explanation of Solution

Given: Equation is $8y+3y=44$

Calculation:

Equation is given as follows:

  $8y+3y=44$

On solving the above equation:

  $\begin{array}{l}11y=44\\ y=\frac{44}{11}\\ y=4\end{array}$

Checking the Solution:

Substitute $y=4$ in the left side of equation $8y+3y=44$

  $\begin{array}{l}\Rightarrow 8\left(4\right)+3\left(4\right)\\ \Rightarrow 32+12\\ \Rightarrow 44\end{array}$

Left hand side of equation is equal to right hand side of equation.

Thus, $y=4$ is solution of equation.

Conclusion:

Hence, solution of equation is $y=4$