Q20. - Algebra 1

Question

Solve each equation. Check your solution.

$14=\frac{6+z}{-2}$

Step-by-Step Solution

Answer

The solution of the given equation is $z=-34$.

Step 1. Write the given equation.

The given equation is “$14=\frac{6+z}{-2}$”.

Step 2. Solve the given equation.

Solving,

 

$14=\frac{6+z}{-2}$  (Given equation)

 

$14\times \left(-2\right)=\frac{6+z}{-2}\times \left(-2\right)$  (Multiply both sides by $-2$)

 

$-28=6+z$  (Simplify)

 

$-28-6=6+z-6$  (Subtract 6 from both sides)

 

$-34=z$  (Simplify)

 

$z=-34$  (Write the variable on the left-hand side)

 

So, $z=-34$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $z=-34$ in the given equation $14=\frac{6+z}{-2}$ to get,

$\begin{array}{l}14=\frac{6-34}{-2}\\ 14=\frac{-28}{-2}\\ 14=14\end{array}$ 

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.