Two-Step Equations and Properties of Equality

Key Questions

  • How do you check solutions to two step equations?

    To check solutions to two step equations, we put our solution back into the equation and check that both sides equal.

    If they equal, then we know our solution is correct. If not, then our solution is wrong.

    Shantelle · 1 · Apr 29 2018
  • What is an example of a two step equation with no solution?

    How about this one...

    #x+1 = 1/2(2x+3)#

    First step: Multiply both sides by 2:

    #2x+2 = 2x+3#

    Second step: Subtract #2x# from both sides:

    #2 = 3#

    George C. · 1 · May 24 2015
  • Is there more than one way to solve a 2 step equation?

    Solving two-step equations is not much more complicated than solving one-step equations; it just involves an extra step.

    Usually there is more than one way to solve these. It's ok to use whatever method makes most sense to you. The general rule of thumb when isolating the variable is to undo the order of operations, PEMDAS. Start with addition and subtraction, then multiplication and division, then exponents, and finally parentheses.

    Let's look at an example:# 2x - 6 = 12#

    Method 1

    #2x-6=12 #
    #2x -6 +6 = 12 + 6 #add 6 to each side
    #2x = 18 #
    #(2x)/2=18/2# divide each side by 2
    #x=9 #

    Method 2

    #2x -6 = 12 #
    #(2x-6)/2= 12/2 #divide each side by 2
    #(2x)/2 - 6/2 =12/2# separate the fractions
    #x - 3 = 6# simplify
    #x - 3 + 3 = 6 + 3 #add 3 to each side
    #x=9 #

    Sidharth · 1 · Jan 9 2015
  • How do you solve two step equations?

    Step 1) Add or Subtract the necessary term from each side of the equation to isolate the term with the variable while keeping the equation balanced.

    Step 2) Mulitply or Divide each side of the equation by the appropriate value solve for the variable while keeping the equation balanced.

    smendyka · 1 · Mar 10 2018

Questions

Linear Equations