y = 6 when x = 24
direct variation y = kx
the given numbers from one ratio is expressed as y/x = 6/24
to find x, when y = 7
we set up a new ratio that is y/x = 7/x
by the definition both ratios are equal 6/24 = 7/x
6/24 = 7/x
1/4 = 7/x
1/4x = 7
x/4 = 7
x = 7 × 4
x = 28
the value of x is 28 when y = 7
hope this helped, God bless!