Sytems of Equations - Overview

Sytems of Equations - Overview

Solving the equation

When the variable is on both sides

1. Simplify EACH SIDE completely

2. Balancing the equation using inverse operations (SADMEP)

3. When the variable equations a specific rational number, there is 1 SOLUTION.

Fill in the Blanks

 $6-7x=7x-10x+2$   $6-7x\ =\ ?\ +2$  

Multiple Select

 $6-7x\ =\ -3x\ +2$  
The next step is to... (chose all that could be correct)

• add 7x to both sides

• add 3x to both sides

• add 2 to both sides

• add 6 to both sides

Multiple Choice

 $6\ =\ 4x\ +\ 2$  

• 8 = 4x

• 1.5 = x + 2

• 4 = 4x

• 6 = 6x

Fill in the Blanks

4 = 4x

What is the value of x?

Infinite Solutions

• solve for the variable the same way

• a number = the same number

• x = x

Example of Inifite Solutions

15 = 15 OR x = x means that ANY number for x will satisfy the equation

Multiple Choice

 $3\left(2x\ +3\right)\ =\ 8x\ +8-2x+1$  

• infinite solution

• 1 solution

• no solution

No Solution

When the variables cancel out and the numbers on EACH side are NOT the same

Fill in the Blanks

 $5x\ +\ 10x\ -7\ =3\left(5x+4\right)$  After fully simplifying the equation, you get...

Multiple Choice

 $15x\ -\ 9\ =\ 15x\ +\ 24$  

• 1 solution

• infinite solutions

• no solution