Question

Which statement is true about the equations –3x + 4y = 12 and 1/4x-1/3y=1

Answer 1

Answer: No solution

Explanation:

This system of equation has no solution because...

-3x+4y=12

1/4x-1/3y=1

`-3x+4y-4y=12-4y`

`-3x=12-4y`

`(-3x)/(-3)=(12)/(-3)-(4y)/(-3)`

`(12)/(-3)-(4y)/(-3)`

`x=-(12-4y)/(3)`

substitute

`(1)/(4)\left(-(12-4y)/(3)\right)-(1)/(3)y=1`

`-1=1`

-1=1 is false so therefore this system has no solution