Equation
[tex] \dfrac{8}{3} = \dfrac{y - 9}{7y + 4} [/tex] Cross Multiply
Solve
8 * (7y + 4) = 3*(y - 9) Remove the brackets
56y + 32 = 3y - 27 Subtract 3y from both sides.
56y - 3y + 32 = - 27
53y + 32 = -27 Subtract 32 from both sides.
53y = -32 - 27
53y = - 59 Divide by 53
y = - 59/53
y = - 1.113
Check
8/3 = (-1.113 - 9)/(7*-1.113 + 4)
8/3 = -10.113 / (- 7.791 + 4 )
8/3 = -10.113 / -3.791
8/3 = 2.667 which very nearly right. Some rounding has taken place.
