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skad [1K]
3 years ago
10

5 (2x – 1) –7 = 2 (x – 3)

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer:

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

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After you add both sides by 9. How can you solve for 5z in this equation?
antiseptic1488 [7]

Answer:

<u>The correct answer is A. Divide both sides by positive 5</u>

Step-by-step explanation:

Let's solve the equation for finding z and the necessary steps to do it:

5z - 3 = 12

5z = 12 + 3 (Adding 3 at the right side and subtracting 3 at the left side)

5z = 15 (Adding 12 plus 3 at the right side)

5z/5 = 15/5 (Dividing by positive 5 at both sides)

<u>z = 3</u>

<u>The correct answer is A. Divide both sides by positive 5</u>

7 0
3 years ago
Two cyclists, 55 miles apart, start riding toward each other at the same time. One cycles 5 miles per hour faster than the other
tangare [24]

Answer:

r = 6 mph and f = 11 mph

Step-by-step explanation:

Representations:  

1) speed of faster cyclist:  f = r + 5

2) speed of slower cyclist:  r

Distances covered:

(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)

Then 5r + 25 + 5r = 55, or, after reducing this equation:

r + 5 + r = 11, or

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Then r = 6 mph and f = 11 mph

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3 years ago
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