Solving multi-step problems using linear equations in one variable

What are Infinitely Many Solution equations?

• This equation is true for any x value you place. This equation is also called identities.

• Equations does not have any possible x value to make it true.

• Equations are equations that has only one solution. There are no other solutions that you can enter into that equation to make it true.

how many solutions does this equation have?

-2(t - 4) = 10 - 2t

• One solution

• two solutions

• No solution

• Infinite solutions

 $-2x-2=x-3x-2$  

• one solution

• no solution

• infinite solutions

Solve for x: 5(2x-1)= -5+10x

• x=5

• No solution

• x=0

• All real numbers

• 0 

• 16

• no solution 

• all real numbers 

How many solutions?

3(x-8) = 3x - 24

• No Solution

• One Solution

• Infinite Solutions

2x + 3 = 2x + 3

• 0

• 1

• No Solution

• All Real Numbers

Level 2

Solve if possible:

3r - 5 = 2r

• No solution

• Infinitely many solutions

• r = 5

Answer explanation

The given question is a simple algebra equation. To find the value of 'r', the equation 3r - 5 = 2r must be solved. By subtracting 2r from both sides, we get r - 5 = 0. Adding 5 to both sides, we find that r equals 5, thus confirming the correct option 'r = 5'.

Does the following equation have one solution, no solutions, or infinitely many solutions?

2x + 4 = 2x + 4

• One

• None

• Infinite

• This cannot be determined

Solve.

 $-5(x+7)=-5x+35$  

• no Solution

• all Real Numbers

• -35

• 7