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2 years ago

-6/5 divided by 12/25

Mathematics

1 answer:

Tema [17]2 years ago

4 0

Answer:

-1 17/25

Solution with Steps

−65−1225=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-6/5, 12/25) = 25

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−65×55)−(1225×11)=?

Complete the multiplication and the equation becomes

−3025−1225=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−30−1225=−4225

This fraction cannot be reduced.

The fraction

−4225

is the same as

−42÷25

Convert to a mixed number using

long division for -42 ÷ 25 = -1R17, so

−4225=−11725

Therefore:

−65−1225=−11725

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Answer:

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Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

coefficients of x and y are the same and the numerical terms

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* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

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∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

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∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

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One solution

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