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3 years ago

What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?

Mathematics

2 answers:

lianna [129]3 years ago

4 0

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y

1/5x - 2/3(15) = 30

multiply

1/5x - 10 = 30

isolate the variable

1/5x = 40

multiply each side by 5

x = 200

Rainbow [258]3 years ago

3 0

Answer:

x = 200

Step-by-step explanation:

Just substitute 15 in for y and solve for x.

1/5x - 2/3y = 30; y = 15

1/5x - 2/3(15) = 30

1/5x - 10 = 30

1/5x - 10 + 10 = 30 + 10

1/5x = 40

(5)(1/5x) = (40)(5)

x = 200

To check this answer, just substitute the 15 in for y and 200 in for x and simplify. If the left side of the equation comes out to equal 30, the answer is correct.

1/5(200) - 2/3(15) = 30

40 - 10 = 30

30 = 30

This check proves that the answer is correct.

The value of x is 200.

Hope this helps!

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AURORKA [14]

Answer:

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Step-by-step explanation:

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3 years ago

Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a

dimaraw [331]

Answer:

14.4 mile²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras