Question

elimination 2x + 5y = 7 and 3x + 2y = 3

Answer 1

Answer:

2x+ 5y = 7. (1)

3x+2y = 3. (2)

We need to make the coefficient same

Hence,

Multiply equation (1) by 2 or 3 ( because any of the variables can be made same)

Let us take the no. 3 to multiply with equation (1)

3(2x + 5y =7)

6x + 15y = 21. (this Will be equ. 3)

Same , coefficient in equation (2). should me made same

So, Let us take the no. 2 to make coefficient same ( here we can take only 2 because we are making the coefficient same of variable X)

Multiply equation (2) by 2

2(3x + 2y= 3)

6x+4y = 6. (this will be equ. 4)

We have made the coefficient same

We need to eliminate the variable X as it's coefficient is same .

Therefore we will subtract the equation (3) and (4)

Subtract equation (4) from(3)

6x +. 15y = 21

-. 6x +. 4y =. 6

(-). (-)

( Here 6x will be eliminated)

Therefore,

11y = 15

y= 15÷11

y= 15/11

We need to find X

therefore

Substitute y= 15/11 in any equation

We will take equation (2)

3x+ 2y= 3

3x + 2× 15/11 =3

3x+ 30/11= 3. ( 2×15/11 = 30/11 )

3x = 3-30/11

3x= 3/11

X= 3/11÷3

X= 1/11

(X, y)= ( 1/11, 15/11)