Solving Equations with No Solution

Write the false statement to this equation
 $2-5x+7=2x+4-7x$  

Evaluate responses using AI:

OFF

Answer explanation

9=4

 What is the false statement for the equation below? $4\left(2x-1\right)=8\left(x+1\right)$ 

Evaluate responses using AI:

OFF

Answer explanation

-4=8

Which are the correct steps for solving the equation $3\left(2x+1\right)=4\left(x-1\right)+2x$  

•  $6x+3=4x-4+2x$  

•  $6x+1=4x-1+2x$  

•  $6x+3=6x-4$  

•  $3\ne-4$  

 $2x-5=7+2x-9$  

Which are the correct steps for solving the equation

•  $2x-5=2x+16$  

•  $2x-5=2x-2$  

•  $-5=-2$  

•  $-5=-16$  

What is the false statement for the equation below: $2\left(2x-3\right)=10x\ +1-6x$  

Choose the first step to solving the equation: $2\left(2x+3\right)=4\left(x-1\right)$  

•  $4x+3=4x-4$  

•  $4x+3=4x-1$  

•  $4x+6=4x-1$  

•  $4x+6=4x-4$  

Choose the correct first steps for solving the equation: $5x+2-7x=3-2x+6$  

•  $12x+2=9-2x$  

•  $-2x+2=-2x+9$  

•  $-2x+2=-2x+3$  

•  $14x=11x$  

Simplify each equation to prove that there's no solution.

3x - 8 = 3(x - 4) + 1

Evaluate responses using AI:

OFF

Answer explanation

-8=-11

Check all that apply for solving the equation $4x-7=3(2x-3)+4-2x$  

•  $4x-7=6x-9+4-2x$  

•  $4x-7=5x-6+4-2x$  

•  $4x-7=4x-5$  

•  $4x-7=3x-2$  

•  $-7=-5$  

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true it is a FALSE STATEMENT

• only this ONE solution will make the equation true

• no matter what constant is substituted in for the variable, the equation is Sometimes true