3.1E: Exercises
- Page ID
- 110469
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In the following exercises, solve each linear equation.
- \(15(y−9)=−60\)
- \(−(w−12)=30\)
- \(51+5(4−q)=56\)
- \(3(10−2x)+54=0\)
- \(\frac{2}{3}(9c−3)=22\)
- \(\frac{1}{5}(15c+10)=c+7\)
- \(3(4n−1)−2=8n+3\)
- \(12+2(5−3y)=−9(y−1)−2\)
- \(5+6(3s−5)=−3+2(8s−1)\)
- \(4(p−4)−(p+7)=5(p−3)\)
- Answer
-
- \(y=5\)
- \(w=−18\)
- \(q=3\)
- \(x=14\)
- \(c=4\)
- \(c=\frac{5}{2}\)
- \(n=2\)
- \(y=−5\)
- \(s=10\)
- \(p=−4\)
In the following exercises, solve each equation with fraction coefficients.
- \(\frac{1}{4}x−\frac{1}{2}=−\frac{3}{4}\)
- \(\frac{5}{6}y−\frac{2}{3}=−\frac{3}{2}\)
- \(\frac{1}{2}a+\frac{3}{8}=\frac{3}{4}\)
- \(2=\frac{1}{3}x−\frac{1}{2}x+\frac{2}{3}x\)
- \(\frac{1}{3}w+\frac{5}{4}=w−\frac{1}{4}\)
- \(\frac{1}{3}b+\frac{1}{5}=\frac{2}{5}b−\frac{3}{5}\)
- \(\frac{1}{4}(p−7)=\frac{1}{3}(p+5)\)
- \(\frac{1}{2}(x+4)=\frac{3}{4}\)
- \(\dfrac{4n+8}{4}=\dfrac{n}{3}\)
- \(\dfrac{3x+4}{2}+1=\dfrac{5x+10}{8}\)
- Answer
-
- \(x=−1\)
- \(y=−1\)
- \(a=\frac{3}{4}\)
- \(x=4\)
- \(w=\frac{9}{4}\)
- \(b=12\)
- \(p=−41\)
- \(x=−\frac{5}{2}\)
- \(n=−3\)
- \(x=−2\)