Question

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

Answer 1

Answer:

5

Step-by-step explanation:

2x+3y=10

=>6x+9y=30 ----- (i)

3x+2y=15

=>6x+4y=30 ------(ii)

(i) -(ii)

=>5y=0

  y=0, substituting in (i)

2x+0=10

x=10/2

 =5

x+y= 5+0 = 5

Answer 2

Given,

2x + 3y = 10 and 3x + 2y = 15

To find,

The value of (x+y).

Solution,

The value of (x+y) will be 5.

We can easily solve this problem by following the given steps.

According to the question,

2x + 3y = 10 ---- (i)

3x + 2y = 15 ---- (ii)

Multiplying the equation (i) by 2 and equation (ii) by 3,

4x+6y = 20 ---- (iii)

9x+6y = 45 ---- (iv)

Subtracting equation (iii) from (iv),

(9x+6y) - (4x+6y) = 45-20

5x = 25

x = 25/5 ( 5 was in the multiplication on the left-hand side. So, it is in the division on the right-hand side.)

x = 5

Putting the value of x in equation (i),

2x + 3y = 10 ---- (i)

2×5 + 3y = 10

10 + 3y = 10

3y = (10-10)

3y = 0

y = 0/3

y = 0

Now, to find the value of (x+y), we will put the values of x and y in this expression.

(x+y) = (5+0)

(x+y) = 5

Hence, the value of (x+y) is 5.