Question

if the value of x and y in the fraction xz/y are both tripled, how the value of the fraction change​

Answer 1

Answer:

If the value of x and y in the following fraction are both tripled,how does the value of the fraction change? XZ/Y A. increases by half B. decreases by half C. triples D. doubles E. remains the same

Answer 2

Answer:

The value of the fraction will not change.

Step-by-step explanation:

Given fraction is $\frac{xz}{y}$

Now value of x and y both are tripled.

So the fraction will become

$= \frac{3x \times z}{3y} \\ = \frac{3}{3} \times \frac{xz}{y} \\ = \frac{xz}{y}$

New fraction is equal to the old fraction.

So,we can say the value of the fraction will not change.

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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