# Solve the Following Pairs of Equations by Reducing Them to a Pair of Linear Equations - Mathematics

Solve the following pairs of equations by reducing them to a pair of linear equations

2/sqrtx +3/sqrty = 2

4/sqrtx - 9/sqrty = -1

#### Solution

2/sqrtx +3/sqrty = 2

4/sqrtx - 9/sqrty = -1

Let 1/sqrtx = p  , then the equations changes as below:

2p + 3q = 2 ... (i)

4p - 9q = -1 ... (ii)

Multiplying equation (i) by 3, we get

6p + 9q = 6 ... (iii)

Adding equation (ii) and (iii), we get

10p = 5

p = 1/2 ... (iv)

Putting in equation (i), we get

2 × 1/2 + 3q = 2

3q = 1

q = 1/3

p = 1/sqrtx = 1/2

sqrtx = 2

x = 4 and q = 1/sqrty = 1/3

sqrty = 3

y = 9

Hence, x = 4, y = 9

Is there an error in this question or solution?

#### APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.6 | Q 1.2 | Page 67