Question

for each value of y, determine whether it is a solution to -28=2(y-7).

y	is it a solution?
6	yes (○)	no (○)
-7	yes (○)	no (○)
-5	yes (○)	no (○)

Explanation:

Step1: Substitute y=10 into equation

$$\begin{align*} 2(10-7)&=2\times3=6\\ 6& eq-28 \end{align*}$$

Step2: Substitute y=6 into equation

$$\begin{align*} 2(6-7)&=2\times(-1)=-2\\ -2& eq-28 \end{align*}$$

Step3: Substitute y=-7 into equation

$$\begin{align*} 2(-7-7)&=2\times(-14)=-28\\ -28&=-28 \end{align*}$$

Step4: Substitute y=-5 into equation

$$\begin{align*} 2(-5-7)&=2\times(-12)=-24\\ -24& eq-28 \end{align*}$$

Answer:

• For $y=10$: No
• For $y=6$: No
• For $y=-7$: Yes
• For $y=-5$: No