Question

1. Solve the following equations.
a) 3x = 2x + 18

b) 2x/3 + 1 = 7x/15 + 3
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Answer 1

$(i) 3x = 2x +18 \\ \\ \implies 3x -2x=18 \\ \\ \implies x=18$

$(ii) \frac{2x}{3}+1= \frac {7x}{15} +3$

$\implies \frac{2x}{3}-\frac{7x}{15}=3-1$

$\implies\frac{10x-7x}{15}=2$

$\implies \frac {3x}{15}=2 \\ \\ \implies 3x=30 \\ \\ \implies x=10$