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Section 1.1 Solving Linear Equations
Subsection 1.1.1 Equations with Fractions
For equations with fractions, multiply by the LCD to clear all the fractions, to convert the equation into an equation with only whole numbers (no fractions).
Exercise Group 1.1.1 . Linear Equations with Fractions.
(a)
\(\dfrac{x}{2}+\dfrac{x}{3}=5\)
(b)
\(\dfrac{x}{3}+5=\dfrac{3x}{4}\)
(c)
\(\dfrac{x}{4}-x-\dfrac{3}{2}=0\)
(d)
\(\dfrac{x}{2}+\dfrac{5x}{4}=\dfrac{x}{12}\)
(e)
\(\dfrac{3(x+1)}{4}=x+1\)
(f)
\(\dfrac{2(x-1)}{3}+5=x\)
(g)
\(\dfrac{x-4}{3}-\dfrac{x-2}{2}=-\dfrac{5}{6}\)
(h)
\(\dfrac{3x}{5}-\dfrac{x-5}{7}=3\)
(i)
\(\dfrac{x+2}{4}-\dfrac{x-1}{2}=\dfrac{2}{3}\)
(j)
\(\dfrac{4x+1}{5}=\dfrac{8x+2}{3}+1\)
(k)
\(\dfrac{3}{4}x-\dfrac{2}{3}x=2\)
(l)
\(\dfrac{x}{2}-\dfrac{4x}{3}+5=0\)
(m)
\(\dfrac{3(x-1)}{2}=x-2\)
(n)
\(\dfrac{x-1}{3}-\dfrac{2x-5}{4}=\dfrac{5}{12}+\dfrac{x}{6}\)
(o)
\(\dfrac{x+3}{2}-\dfrac{x-2}{3}=2\)
(p)
\(\dfrac{x}{2}+\dfrac{7}{3}=\dfrac{5}{6}\)
