Solving rational equations

All in One Place

Everything you need for JC, LC, and college level maths and science classes.

Learn with Ease

We’ve mastered the national curriculum so that you can revise with confidence.

Instant Help

24/7 access to the best tips, walkthroughs, and practice exercises available.

  1. Solve the following rational equations:
    1. 3−3x=1+1x3-\frac{3}{x}=1+\frac{1}{x}
    2. 2x+15x=132x+\frac{15}{x}=13
  2. Solving Rational Equations by cross multiplying
    State the non-permissible values for the variable x, then solve algebraically.
    1. 8x+4=3x−1 \frac{8}{x+4}=\frac{3}{x-1}
    2. 2x−26x−1=3x+49x+5 \frac{2x-2}{6x-1}=\frac{3x+4}{9x+5}
  3. Solve
    2x−9+20x+9=80x2−81 \frac{2}{x-9}+\frac{20}{x+9}=\frac{80}{x^2-81}
    1. Solve the following equations algebraically:
      1. 2x+2+3x−2=1\frac{2}{x+2}+\frac{3}{x-2}=1
      2. 2t−3t−1−3t+1t+2=−1\frac{2t-3}{t-1}-\frac{3t+1}{t+2}=-1
    2. Solving Rational Equations by factoring
      State the non-permissible values for the variables, then solve algebraically.
      1. x2−5x+4(x−1)=−4 \frac{x^2-5x+4}{(x-1)}=-4
      2. x−1x2−1=12x−3\frac{x-1}{x^2-1}=\frac{1}{2x-3}
    Topic Notes
    In this lesson, we will learn how to state the non-permissible value(s) of rational equations and how to solve them algebraically.
    Always find the non-permissible values before solving the rational equations as some answers might have to be rejected.