Question

Question 1:
What is the next step when simplifying the following equation?

−3x+8=2

Add 8 to both sides


Subtract 8 from both sides


Add 3 to both sides


Subtract 3 from both sides

Question 2:
The total bill for the repair of a refrigerator was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the refrigerator?

Which of the following equations is the best representation of the problem?

179=44+45x

44−45x=179

45x−44=179

45x=179+44

Answer 1

Answer:

Question 1: Add 8 to both sides

Question 2: 179=44+45x

Answer 2

Answer:

Question 1: Subtract 8 from both sides.

Question 2: 179=44+45x , It took 3 hours to repair the refrigerator.

Step-by-step explanation:

Question 1:

We have $-3x+8=2$ the next step when simplifying the equation is subtract 8 from both sides, this means:

$-3x+8=2\\-3x+8-8=2-8\\-3x=-6$

To finish this equation we have to divide both sides in (-3) this is:

$\frac{ (-3)x}{(-3)}=\frac{ (-6)}{(-3)}\\x=2$

Question 2:

The total bill for the repair of a refrigerator was $179. The cost of parts was $44, and labor charge was $45 per hour.

In this case we don't know how many hours took to repair the refrigerator, this means that the number of hours is x. And the charge for each hour is $45 then the total labor charge is 45x if we sum the cost of parts then we have the total bill.

The equation of the problem is:

179=44+45x, to know how many hours took to repair the refrigerator we have to simplify that equation:

$179=44+45x$, we have to subtract 44 from both sides.

$179-44=44+45x-44\\135=45x$, now divide both sides in (45),

$\frac{135}{45} =\frac{45x}{45}\\3=x$

It took 3 hours to repair the refrigerator.