Linear Equations, Solution, No Solution, Infinite Solutions

-10y-6 = -10y-6

• No Solution

• One Solution

• Infinite Solutions

-4(3x + 2) = 3(-4x + 5)

• No Solution

• One Solution

• Infinite Solution

How many solutions does the following equation have?

−2x + 9 + 6x = −3x + 2

• One Solution

• No Solutions

• Infinitely Many Solutions

• Two solutions

How many solutions does the following equation have?

−5x + 5 − 4x = −1 − 9x

• One Solution

• No Solutions

• Infinitely Many Solutions

• Two solutions

What is the solution to the equations?

• one solution

• no solution

• infinite solutions

• none of these

What is the solution to the equations?

• one solution

• no solution

• infinite solutions

• none of these

Select the letters that identify whether each equation has no solution, one solution, or infinitely many solutions. Only 1 letter corresponds to each equation.

• A, E, I

• B, D, G

• B, F, H

• C, D, H

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative