Online Rational Equation Solver Tutors

Online Rational Equation Solver Tutors Rational expression is an algebraic expression written in p(x) / q(x) form. An algebraic expression is an expression written using numbers variables and constants. The condition for the rational expression is the denominator cannot be equal to zero i.e. q(x) 0. The rational equation can be solved using different mathematical properties such as multiplicative property, associative property, additive inverse multiplicative inverse and many more. Example 1: Solve the given rational equation 2x/(x + 1) + 1 = 7/(x+1). Solution: Given is the equation 2x/(x + 1) + 1 = 1/(x+1). Here the left had side has the equation 2x/(x + 1) + 1. Take the common denominator that will be (x + 1) 2 x /(x + 1) + (x + 1) / (x + 1) = (2 x + x + 1)/(x+1) = (3 x + 1)/ (x + 1). This gives: (3 x + 1)/ (x + 1) = 7/(x+1). The denominator on both sides is (x + 1) equating the numerators. This gives: 3 x + 1 = 7. Subtract 1 on both sides. This gives 3 x = 6. Divide both sides of the equation by 3. Therefore. x = 2. Example 2: Solve the given rational equation 4x/(x + 12) = 1. Solution: Given is the equation 4x/(x + 12) = 1. Multiply both sides of the equation by x+12. This give 4x = x+ 12. Subtracting both sides of the equation by x. 3x = 12. Divide both sides of the equation by 3. Therefore. x = 4.