Question

Find k if the equations are: 2x+4y=k , x-2y+3k=0 , 2x+3y=2 are consistent.​

Answer 1

Answer

let x=2 and y=4 in all equations

1. $2 - 2(4) + 3k = 0\\ 2 - 8 + 3k = 0 \\ - 6 + 3k = 0 \\ 3k = 6 \\ k = \frac{6}{3} = 2$