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Discussion Topic
In this unit, you solved two-step equations. A two-step equation is an equation of the
form px +q=r. It takes two steps to solve for the variable x. For example, 3x + (-5) =
19 is a two-step equation. How could you transform this particular equation to create a
three-step equation? List several ways you could transform it using common math
operations
Next, try solving one of the three-step equations you created for x. (Use a guess and
check strategy, if necessary) What additional step was required to find the solution? In
your opinion, is solving a three-step equation more difficult than solving a two-step
equation? Why or why not? Do you think there is a limit to the number of steps it takes
to solve an equation? Explain.

Discussion Topic In This Unit You Solved Twostep Equations A Twostep Equation Is An Equation Of The Form Px Qr It Takes Two Steps To Solve For The Variable X Fo class=

Sagot :

MrRoyal

Equations can be solved in one or more steps

When the solution of an equation involves two steps, then the equation is a two-step equation.

However, if the solution involves three steps, then such equation is a three-step equation.

Two-step equation

The equation is given as:

[tex]3x +(-5) = 19[/tex]

One of the ways the above equation can be transformed to a three-step equation is as follows

[tex]3x +(-5) = 19[/tex]

Remove brackets

[tex]3x -5 = 19[/tex]

Add 5 to both sides

[tex]3x= 24[/tex]

Divide both sides by 3

[tex]x= 8[/tex]

Another way is as follows:

[tex]3x +(-5) = 19[/tex]

Collect like terms

[tex]3x = 19 - (-5)[/tex]

Evaluate like terms

[tex]3x= 24[/tex]

Divide both sides by 3

[tex]x= 8[/tex]

Three-step equation

An example of a three-step equation is:

[tex]3(x + 1) = 5 +x[/tex]

Start by opening the brackets

[tex]3x + 1 = 5 +x[/tex]

Collect and evaluate like terms

[tex]2x=4[/tex]

Divide both sides by 2

[tex]x=2[/tex]

Read more about equations at:

https://brainly.com/question/24590763

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