Question

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.

Answer 1

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

From the question, we have:

$3x + (-5) = 19$

Transform the above equation to a three-step equation using the following steps:

$3x + (-5) = 19$

Rewrite the expression without the brackets

$3x - 5 = 19$

Collect and evaluate like terms

$3x = 24$

Solve for x

$x = 8$

Another way to transform the equation is as follows:

$3x + (-5) = 19$

Collect like terms

$3x = 19+5$

Add 19 and 15

$3x = 24$

Solve for x

$x = 8$

Three-step equation

An example of this type of equation is:

$4(x + 2) = 4$

Start by opening the brackets

$4x + 8 = 4$

Collect and evaluate like terms

$4x = -4$

Solve for x

$x = -1$

Read more about equations at:

https://brainly.com/question/26119747

Answer 2

Answer:

x = -1

Step-by-step explanation: