Question

3. Consider the following pairs of linear equations
1 3x+2y = 5; 2x + 3y = 5​

Answer 1

Answer:

x=1 and also y=1 is the answer

Answer 2

Given that,

Two equations i.e. 3x+2y = 5; 2x + 3y = 5

To find,

The value of x and y.

Solution,

We are given with two equations in terms of x and y. Let us suppose we need to find the value of x and y.

3x+2y = 5

We can find the value of x in terms of y such that,

$x=\dfrac{5-2y}{3}$

2x+3y=5 ......(2)

Put the value of x from equation (1) to equation (2) such that,

$2x+3y=5\\\\2(\dfrac{5-2y}{3})+3y=5\\\\y=1$

Put the value of y = 1 in equation (1).

$x = \dfrac{5-2(1)}{3}\\\\x=1$

So, the values of x and y are 1 and 1 respectively.