Question

Find the value of x and y.
3x + 2y = 5 and 2x -3y = 7​

Answer 1

Answer:

x = 29/13 and y = 11/13

Step-by-step explanation:

3x + 2y = 5

Can be written as 6x + 4y = 10

2x - 3y = 7

Can be written as 6x - 9y = 21

Now subtracting the equations we get

13y = -11

So, y = -11/13

Now substituting the value of y in any equation we get the value of x.

3x + 2 X -11/13 = 5

3x = 5 + 22/13

3x = 87/13

So, x = 29/13

Answer 2

x = 29/13 and y = -11/13

Step-by-step explanation:

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

2x -3y = 7. ---(ii.)

2*(3x + 2y = 5)

3*(2x -3y = 7)

6x + 4y = 10

6x - 9y = 21

- + -

_________

13y = -11

y = -11/13

Put value of y in eq. (i.)

3x + 2y = 5

3x + 2*(-11/13) = 5

3x - 22/13 = 5

3x = 5 + 22/13

3x = 87/13

x = (87/13)*(1/3)

x = 29/13

Is the answer correct!!