Question

For each step, chose the reason that best justifies it?

Answer 1

SOLUTION

Write out the equation

$\frac{y-7}{2}=-11$

The first step in solving this equation is to multiply both sides by 2 this is called

MULTIPLICATION PROPERTY OF EQUALITY

Step1; MUltiply both sides by 2

$\begin{gathered} 2\times\frac{y-7}{2}=-11\times2 \\ \text{Then},\text{ simpliying we have } \\ y-7=-22 \end{gathered}$

The next step in solving this equation is to add 7 to both sides of

the equation this is called ADDITION PROPERTY OF EQUALITY

step2: Add 7 to both sides of the equation

$\begin{gathered} y-7+7=-22+7 \\ \text{simplify we have } \\ y=-15 \end{gathered}$

Hence the solution to the equation is y=-15

The steps are

Step1; MULTIPLICATION PROPERTY OF EQUALITY

Step2: SIMPLIFYING

Step3: ADDITION PROPERTY OF EQUALITY

Step4: SIMPLIFYING