Question

Find the solution of the equations 2x+3y=5 and 3x+2y=5

Answer 1

Answer:

the value of x and y is 1

Step-by-step explanation:

5-3y/2=5-2y/3

15-9y=10-4y

5y=5

y=1, so

x= 5-3x1/2

= 2/2

x=1

Answer 2

The solution of the equations is x = 1 & y= 1

Step-by-step explanation:

Given:

The equations are 2x+3y =5 & 3x+2y=5

To find:

solution of the equations

Solution:

We can use different methods to find the solution to the equations

Here, we use the elimination method

Let the equations be

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

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

Multiplying equation (i) by 3 & equation (ii) by 2

we get,

6x + 9y = 15.............(iii)

6x + 4y = 10............(iv)

Now that we have one like the term, we try to eliminate that

Subtracting equation (iv) from (iii)

6x + 9y = 15

6x + 4y = 10

(-)  (-)       (-)  

     5y    = 5  ..................(like terms 6y & 6y being eliminated)

∴ 5y = 5

∴ y = 5/5

∴ y = 1

Substituting the value of variable y in the original equation (i)

2x+3y = 5

2x+ 3(1) = 5

2x+ 3 = 5

∴ 2x = 5-3

∴ 2x = 2

∴ x = 2/2

∴ x = 1

Thus, the solution set will be (1,1)

The solution of the equations 2x+3y=5 & 3x+2y=5 is (1,1)

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