Question

Both of the equations shown have the same solution when solved for x, 1/2(x+6)=2x and 5-2x=7x-h

Answer 1

h = 13

Explanation:

Find the x for the first equation:

`(1)/(2) (x+6)=2x`

`x+6=2x/(1)/(2)`

`x+6=2x*2`

`x+6=4x`

`4x-x=6`

`x=6/3`

`x=2`

Find the h by substitute x=2 into second equation:

`5-2x=7x-h`

`h=7x-5+2x`

`h=9x-5`

`h=9(2)-5`

`h=13`