Linear Equations

 1. Solve the following equations.  solution

(a)  \(\displaystyle{2[x+4(2-x)]=x+2}\)

(b)  \(\displaystyle{3(2x-5)-5(6x-2)=12-7x}\) 

 2. Solve the following equations.  solution

(a)  \(\displaystyle{ \frac{2x+1}{9}-\frac{x+4}{6}=1}\)

(b)  \(\displaystyle{ \frac{2-3x}{7}-\frac{x-1}{3}=\frac{3x}{7}}\)

 3. Solve the following equations.  solution

(a)   \(\displaystyle{\frac{2}{3}-\frac{3}{2}x=\frac{1}{6}-\frac{7}{3}x}\)

(b)  \(\displaystyle{\frac{1}{3}x-\frac{2}{3}=\frac{1}{2}(1-3x)}\)

 4. Solve the following equations as indicated.   solution

(a)  \(\displaystyle{ A = \frac{(a+b)  h}{2}}\)  for \(h\) 

(b)  \(\displaystyle{ \frac{1}{w}=\frac{1}{u}+\frac{1}{v}}\) for \(u\)

(c)  \(\displaystyle{\frac{5}{9} (F-32)=C}\) for \(F\) 

(d)  \(\displaystyle{T=a+(n-1)  d}\) for \(d\)