Question

Solve the linear equation
x/2 + 2y/3 = -1 and x - y/3 = 3​

Answer 1

• x/2+2y/3=-1

Multiply by 6

• 3x+4y=-6-»eq(1)

And

• x-y/3=3

Multiply by 3

• 3x-y=9-»eq(2)

eq(1)-eq(2)

• 5y=-15
• y=-3

Then

• 3x+4(-3)=-6
• 3x-12=-6
• 3x=6
• x=2

Answer 2

From Equation 1

`(x)/(2) + (2y)/(3) = - 1`

`(3x + 4y)/(6) = - 1`

`3x + 4y = - 6`

From Equation 2

`x - (y)/(3) = 3`

`(3x - y)/(3) = 3`

`3x - y = 9`

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2

`3(2) - y = 9`

`6 - y = 9`

`6 - 9 = y`

`-3 = y`

So The value of x = 2 and y = -3