Chapter 4.3, Problem 31PPS

To determine

To calculate:To solve the equation, then check your solution

Answer to Problem 31PPS

On solving equation, $g=0.1$

Explanation of Solution

Given information:Equation is $-2.5+g=-1.3+\left(-1.1\right)$

Calculation:

Equation is given as

  $-2.5+g=-1.3+\left(-1.1\right)$

On solving above equation,

  $\begin{array}{l}-2.5+g=-1.3-1.1\\ -2.5+g=-2.4\\ g=-2.4+2.5\\ g=0.1\end{array}$

In order to check the solution, substitute $g=0.1$ in the given equation

Left hand side of equation is solved as follows:

  $\begin{array}{l}\Rightarrow -2.5+0.1\\ \Rightarrow -2.4\end{array}$

And Right hand side of equation is solved as follows:

  $\begin{array}{l}\Rightarrow -1.3+\left(-1.1\right)\\ \Rightarrow -2.4\end{array}$

Now, Left hand side of equation is equal to right hand side

Thus, $g=0.1$ is the solution

Conclusion:

Hence, $g=0.1$ is solution of the equation $-2.5+g=-1.3+\left(-1.1\right)$