Question

√3x - √zy - √3 = 0
√5x + √3y - √2 = 0
Solve the above equation by the elimination method..

The sum of the numerator and denominator is equal to 7. Four times the numerator is less
than 5 times the denominator by 8. Find the fraction.​

Answer 1

Answer:

The solution for the given pair of equations is x = 3 and y = 4 respectively. 13. 2x – (3/y) = 9. 3x + (7/y) = 2 ,y ≠ 0. Solution:.

Answer 2

Answer:

Let the numerator of the fraction be x and the denominator be y.

∴ Original fraction =

Given that :

Sum of numerator and denominator is 7.

⇒ x + y = 7 .....(i)

Also,

Four times numerator is 8 less than 5 times the denominator.

⇒ 4x = 5y - 8

⇒ 4x - 5y = - 8 ....(ii)

Here, we got two equations. In order to get solution, multiply equation (i) by 4.

4(x + y) = 4 * 7

⇒ 4x + 4y = 28 ... (iii)

Subtracting eqⁿ (ii) from (iii) -

4x + 4y - (4x - 5y) = 28 - (-8)

⇒ 4x + 4y - 4x + 5y = 28 + 8

⇒ 9y = 36

⇒ y =

⇒ y = 4

Substituting the value of y in (i) -

⇒ x + y = 7

⇒ x + 4 = 7

⇒ x = 7 - 4

⇒ x = 3