Question

1. x – 3y =1; 3x – 2y + 4 = 0.

2. 2x + 5y = 20; 3x + 6y = 12.

3. 4x + y = 34; x + 4y = 16.

4. 141x + 103y = 217; 103x + 141y = 27.​

Answer 1

Answer:

1. x = 16/7

y = 3/7

Step-by-step explanation:

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

3x - 2y = 0 --------(2)

___________

multiply equation (1) by 3

3x - 9y = 3

(-) (+) (-)

3x - 2y = 0 (change the signs)

___________

-7y = -3

y =3/7

substitute y = 3/7 in any equation

whereas I'm substituting in (1) equation

x - 3y = 1

x - 3(3/7) = 1

x - 9/7 = 1

x = 1 + 9/7. (Take LCM)

x= 7+9/7

°

° °. x = 16/7