Question

Solve the following pair of linear equation by the elemination

method

3x-y =3 ------------------ (1)

2x-3y=2 ------------------ (2)​

Answer 1

Answer:

x= 1 and y= 0

Step-by-step explanation:

3x-y=3

2x-3y=2

We need to take LCM of the coefficients of x to make them equal, the coefficients here are 2 and 3 here..

LCM (2,3) = 6

Now, we need to multiply 1st equation with 2 and 2nd equation with 3

Therefore the new equation will be

6x-2y= 6 ------------(3)

6x-9y= 6 ------------(4)

We need to subtract the (3) and (4) equations

6x - 2y= 6

6x - 9y= 6

(-) (+) (-)

________

0x + 7y= 0

Therefore, 7y = 0

y= 0

Now, 6x-2y=6 (from (3))

6x-2×0 = 6

6x= 6-0

x= 6/6

x= 1

Hope it helps..

Thank you!