1. Cross multiply 35x = 5(11) 35x = 55 Divide both sides by 35 x = 55/35 x = 11/7
2. (x - 2)/x = 3/8 Cross multiply 3x = 8(x - 2) 3x = 8x - 16 Subtract 8x from both sides -5x = -16 divide both sides by -5 x = -16/-5 x = 16/5 OR 3 1/5
3. (a + 1)/(a - 1) = 5/6 cross multiply 6(a + 1) = 5(a - 1) distribute 6a + 6 = 5a - 5 subtract 5a from both sides a + 6 = -5 subtract 6 from both sides a = -11
4. (1/3)x - 4 = (2/3)x + 6 multiply each term by 3 to clear the fractions x - 12 = 2x + 18 subtract x from both sides -12 = x + 18 subtract 18 from both sides -30 = x