Question

if 2x+3y=15,3x+2y=10 then x+y=?​

Answer 1

ANSWER-5

Step-by-step explanation:

2x+3y=15

3x+2y=10

Now add those equations

Then u will get

5x+5y=25

Now take 5 as common

5(x+y)=25

x+y=25÷5

x+y=5

THANK U

Answer 2

Answer:

Step-by-step explanation:

ANSWER:-

The method we will use is :- Reduction Method

Reduction Method:-

• The process in which we multiply both the equations so that at least one value becomes same and we can eliminate it is called reduction method.

So, the given equations are:-

$\sf{2x+3y = 15}$ __________________(1)

$\sf{3x+2y = 10}$__________(2)

So now, multiplying 3 with (1) and 2 with (2),

$\sf{3(2x+3y = 15)$

$\longrightarrow \sf{6x +9y = 45}$________(3)

$\sf{2(3x+2y =10)}$

$\longrightarrow \sf{6x +4y = 20}$_______(4)

Subtracting (3)-(4)

$\implies \sf{ 6x+9y -(6x+4y) = 45-20}$

$\implies \sf{6x+9y -6x -4y = 25}$

$\implies \sf{5y = 25}$

$\implies \boxed{\sf{y = 5}}$

Now, placing the value of y in (2),

$\sf{3x+2(5) = 10}$

$\sf{3x = 0}$

$\implies \boxed{\sf{x = 0}}$.