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Do all equations only have one solution?

Do all equations only have one solution?. In this lesson you will learn that a linear equation has infinitely many solutions by transforming it into a simpler form. =. 5. X + 2. X + 2 = 5. -2 -2. X = 3. =. 3. X. =. 5. X + 2. X+ 2 = 5. X+ 2 = 5. 4 + 2 = 5. 3 + 2 = 5.

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Do all equations only have one solution?

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  1. Do all equations only have one solution?

  2. In this lesson you will learn that a linear equation has infinitely many solutions by transforming it into a simpler form.

  3. = 5 X + 2

  4. X + 2 = 5 -2 -2 X = 3

  5. = 3 X

  6. = 5 X + 2

  7. X+ 2 = 5 X+ 2 = 5 4 + 2 = 5 3 + 2 = 5 5 = 5 6 = 5  

  8. = 5 X + 2

  9. Assuming all linear equations have only one solution

  10. X+ 2 = 2 + X X+ 2 = 2 + X 0 + 2 = 2 + 0 1 + 2 = 2 + 1 3 = 3 2 = 2  

  11. What is the solution for x – 3 = x + -3? x – 3 = x + -3 x – 3 = x + -3 5 -3 = 5 + -3 + 3 = +3 2 = 2 X = X  Infinitely Many Solutions

  12. What is the solution for x – 3 = x + -3? x – 3 = x + -3 x – 3 = x + -3 -x = -x -2 -3 = -3 + -2 -3 = -3 -5 = -5  Infinitely Many Solutions

  13. How many solutions does 5(x+1) = 5x+5 have? 5(x+1)= 5x+5 5x+5 = 5x+5 Infinitely Many Solutions -5 = -5 5x = 5x 5 = 5 x = x

  14. How many solutions does 5(x+1) = 5x+5 have? 5(x+1)= 5x+5 5x+5 = 5x+5 -5x =-5x Infinitely Many Solutions 5 = 5

  15. In this lesson you learned that a linear equation has infinitely many solutions by transforming it into a simpler form.

  16. How many solutions does 4x = 4x have?

  17. What is the solution for x + x = 2x?

  18. When we solve the equation 2(x+1) = 2x+2, what is our solution? What does this mean?

  19. How many solutions does the equation y=y have? Why?

  20. Create an equation that has only one solution and that has infinitely many solutions.

  21. How many solutions does x+1=1+x have? a) One b) Many How many solutions does 4(x+1) = 4x+4 have? a) One b) Many

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