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Molodets [167]
3 years ago
12

#10 solve the equation 1/3m - 7 = 5

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0
(1/3) m - 7 = 5 
(1/3) m - 7 + 7= 5 + 7 ⇒⇒⇒ edit 7 to both sides
(1/3) m = 12
3 * (1/3) m = 12 * 3     ⇒⇒⇒ multiply both sides by 3
∴ m = 36
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Answer:

x = 27/10 or x = 2.7

Step-by-step explanation:

Step 1: Get rid of the denominator.

LCD of 4 & 3: 12

Multiply both sides by 12.

12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)

Reduce the numbers.

3 ( 2x - 1) + 4x = 24

Step 2: Distribute.

6x - 3 + 4x = 24

Step 3: Collect like terms.

6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)

10x = 27

Step 4: Solve for x.

Multiply both sides by 10.

10x / 10 = 27 / 10 (the 10 cancels out)

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Answer: x = 27 / 10 or x = 2.7

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