Question

answer is
$\frac{17}{24}$
need explanation​

Answer 1

Answer:

Step-by-step explanation:

Please mark me as brainliest please

Answer 2

Answer- The above question is from the chapter 'Pair of Linear Equations in Two Variables'.

There are two ways to solve a pair of linear equations in two variables:

1) Graphical Method

2) Algebraic Method:

a. Substitution Method

b. Elimination Method

c. Cross-Multiplication Method

Given question: A fraction becomes $\frac{5}{7}$ when 2 is added to both its numerator and denominator. However, if 17 is subtracted from both the numerator and denominator, the fraction becomes $\frac{8}{15}$ .

Solution: Let the numerator be x and denominator = y.

$\implies Fraction = \frac{x}{y}$

Ist Condition:

$\dfrac{x \: + \: 2}{y \: + \: 2} = \dfrac{5}{7}$

7x + 14 = 5y + 10

7x - 5y = - 4 --- (1)

2nd Condition:

$\dfrac{x \: - \: 17}{y \: - \: 17} = \dfrac{8}{15}$

15x - 255 = 8y - 136

15x - 8y = 119 --- (2)

Multiplying equation 1 by 8 on both sides and equation 2 by 5 on both sides, we get,

56x - 40y = - 32 --- (3)

75x - 40y = 595 --- (4)

Equation 4 - Equation 3, we get,

19 x = 627

x = 33

Put value of x = 33 in equation 2, we get,

- 8y = - 376

y = 47

⇒ Fraction = $\frac{33}{47}$

Now, the 3rd condition says:

$\dfrac{33 \: + \: 1}{47 \: + \: 1}$

The fraction becomes: $\dfrac{34}{48}$

                                     = $\boxed{\dfrac{17}{24}}$