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navik [9.2K]
3 years ago
11

What is the solution to this equation? 3x + 8 = 2x - 8

Mathematics
1 answer:
viktelen [127]3 years ago
8 0

Step-by-step explanation:

\tt{3x + 8 = 2x  -  8}

We want to get all the constants on the right hand side of the equation. So , Add 8 on both sides of the equation.

⤏ \tt{3x + 8  + 8= 2x  - 8 + 8}

⤏ \tt{3x + 16 = 2x}

Move 2x to left hand side and change it's sign. Similarly , Move 16 to right hand side and change it's sign :

⤏ \tt{3x - 2x =  - 16}

Since , 3x and 2x are like terms , they can be added or subtracted. Subtract 2x from 3x :

⤏ \sf{x =  - 16}

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \underline{ \tt{x =  - 16}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

208⅓ ft²

Step-by-step explanation:

The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.

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Convert the mixed number to an improper fraction     = 80 × 15/8

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Convert inches to feet                                                   = 150/12  

Convert the improper fraction to a mixed number      = (144 + 6)/12

                                                                                        = 12⁶/₁₂

Reduce the fraction to lowest terms                             = 12½ ft

Calculate the length

l = 80 × 2½  = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12

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Calculate the area

A = lw

A = 16⅔ × 12½

Convert the mixed numbers to improper fractions

A = 50/3× 25/2

Cancel the 2s

= 25/3 × 25

Multiply numerators and denominators                        

= 625/3

Convert the improper fraction to a mixed number    

= (624 + 1)/3

= 208⅓ ft²

The area of Rachel's living room is 208⅓ ft².

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