Question

(i) If 2x + 3y = 10 and 3x + 2y = 15, find the value of (x + y).​

Answer 1

Answer:

This is the correct answer of your question

Answer 2

Value of (x+y) is 5

Step-by-step explanation:

Given:- 2x+3y=10

            3x+2y=15

To find:- value of (x+y)

Formula used:- Using elimination method

In the elimination method, any of the coefficients is first equated and eliminated. After elimination, the equations are solved to obtain the other equation.

Solution:-

Consider the same equations as

2x + 3y = 10 ———–(i)

And,

3x + 2y = 15 ———–(ii)

Now, multiplying equation (i) by 3 and equation (ii) by 2

the equations becomes

6x + 9y = 30 ———–(iii)

And,

6x + 4y = 30———–(iv)

Now subtracting equation (iv) from equation(iii) we get

(6x+4y)-(6x+9y)=30-30

6x+4y-6x-9y=0

-5y=0

y=0

Now substituting this value of y in equation (i)

2x+3y=10

2x+3*0=10

2x=10

x=5

Now value of (x+y)=5+0=5