Question

3x + 2y = 6 4x + y = 1 Solve the system of equations.

Answer 1

3x + 2y=6 .......(1)

4x + y=1 .........(2)

Multiplying equation (1) with 4 and equation (2) with 3

12x + 8y=24 ........(3)

12x + 3y=3 ........(4)

Subtracting equation (4) from (3)

5y=21 => y=21/5

Substituting the value of y in equation (1)

3x + 42/5 = 24

=>3x = 78/5

=>x=26/5

Answer 2

3x+2y=6 -1 equation

4x+y=1 (multiply 2 ) -2

3x+2y=6

8x+2y=2 multiply(- )

3x+2y=1

- 8x-2y=-2

____________

-5x=-1

x=1/5

substituting the value of x in equation 2

4(1/5)+y=1

4/5+y=1

y=1-4/5

y=1/5 ans