Q69. - Algebra 1

Question

Write an equation that involves two or more operations with a solution of – 7.

Step-by-Step Solution

Answer

The equation is $2·x+7=-7$

Step 1. Understand what is given.

Given: Solution = - 7.

Step 2. Make a strategy.

Let us assume that the variable is x. We will pick two numbers a and b so that the equation has two operations: $x+a-b$.

Step 3. Calculation.

Then we set it equal to the solution – 7.

$\begin{array}{l}x+a-b=-7\\ \Rightarrow a-b=-7-x\end{array}$

Then we compare R.H.S with L.H.S

$a=7\text{ and }b=x$

That means,

$\begin{array}{l}x+7+x=-7\\ \Rightarrow 2·x+7=-7\end{array}$

So, the equation is $2·x+7=-7$