Question

for each value of w, determine whether it is a solution to 10 = 2w - 6.

w	is it a solution?
-6	∘ (yes)	∘ (no)
8	∘ (yes)	∘ (no)
-9	∘ (yes)	∘ (no)

Explanation:

Step1: Solve for w in the equation

$$10 = 2w - 6$$
Add 6 to both sides:
$$10 + 6 = 2w - 6 + 6$$
$$16 = 2w$$
Divide by 2:
$$\frac{16}{2} = \frac{2w}{2}$$
$$w = 8$$

Step2: Check w=5

Substitute $w=5$ into $2w-6$:

$$2(5)-6 = 10-6 = 4 eq 10$$

Step3: Check w=-6

Substitute $w=-6$ into $2w-6$:

$$2(-6)-6 = -12-6 = -18 eq 10$$

Step4: Check w=8

Substitute $w=8$ into $2w-6$:
$$2(8)-6 = 16-6 = 10 = 10$$

Step5: Check w=-9

Substitute $w=-9$ into $2w-6$:

$$2(-9)-6 = -18-6 = -24 eq 10$$

Answer:

• For $w=5$: No
• For $w=-6$: No
• For $w=8$: Yes
• For $w=-9$: No