Q49. - Algebra 2

Question

Solve each equation. Check your solution.

$3f-2=4f+5$

Step-by-Step Solution

Answer

The required answer is $-7$.

Step 1- Isolate the variable f

Perform addition of 2 and subtraction of $4f$ on both the sides of the equation.

$\begin{array}{c}3f-2+2-4f=4f+5+2-4f\\ -f=7\end{array}$

Perform division of $-1$ on both the sides of the equation

$\begin{array}{c}\frac{-f}{-1}=\frac{7}{-1}\\ f=-7\end{array}$

Step 2 – Check the obtained value

Substitute the obtained value of f into the original equation and perform simplification for checking.

$\begin{array}{l}3\left(-7\right)-2\stackrel{?}{=}4\left(-7\right)+5\\ -21-2\stackrel{?}{=}-28+5\\ -23=-23\end{array}$

Step 3- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.