Question

find the solutions of equations 2x + 3x= 5 and 3x + 2y=5​

Answer 1

Answer:

x=2, y=2

Step-by-step explanation:

2x+3y=5 ......1)

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

Adding 1) and 2)

2x+3y=5

3x+2y=5

--------------

5x+5y=10

Dividing by 5

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

Subtracting 2) from 1)

2x+3y=5

3x+2y=5

------------

-x+y=0...........4)

Adding 3) and 4)

x+y=2

-x+y=0

-------------

2y=2

y=2

Put y=2 in eqn 4)

-x+y=0

y=x

x=2

Soln. is,

x=2, y=2

Answer 2

Answer:

You have mistakenly typed 2x + 3x = 5. It should be 2x + 3y = 5.

2x + 3y = 5 ____________ 1st equation

3x + 2y = 5 ____________ 2nd equation

Multiply equation 1 by 2 and equation 2 by 3.

After multiplying:-

4x + 6y = 10 ____________ 1st equation

9x + 6y = 15 ____________ 2nd equation

Change the signs of the second equation.

4x + 6y = 10 ____________ 1st equation

- 9x - 6y = - 15 ____________ 2nd equation

_______________

-5x = -5

x = 1

Substitute for x = 1 in equation 1.( original equation )

2x + 3y = 5 ___________ equation 1

2 ( 1 ) + 3y = 5

2 + 3y = 5

3y = 3

y = 1

Hence solved ✔✔✔

The value of x is 1 and the value of y is also 1.

hope it's gonna help you ☺