Equivalent Linear Equations

A linear equation with one variable, x, can be transformed into an equivalent equation that has one solution. Which of the following shows that the linear one-variable equation has one solution?

• 1=2

• 2=2

• x=8

Match the equivalent equations

• 10x - 70 = -65

• 2x + 7 = 13

• -21x - 6 = -39

• 2x - 7 = -13

• -28x + 8 = -52

• 7x + 2 = -13

• 14x - 4 = -26

• 7x - 2 = 13

• -4x - 14 = -26

• 7x - 2 = -13

The equation 3x + 12 = 9 is equivalent to ​ (a)  

• 3x - 7 = -10

• 3x + 15 = 6

• x + 12 = 3

• x + 6 = 3

• x + 9 = 12

• 6x + 12 = 18

• 9x + 12 = 3

• 3x + 4 = 5

Which equations represent the same line? Select all that apply.

• y - 5 = 2/3(x + 6)

• y = 2/3x -1

• 2x - 3y = -27

• y = 2/3x + 9

Which equation represents the same relationship?

• y + 67 = 7/8 ( x - 78 )

• y + 78 = 7/8 ( x - 67 )

• y + 67 = 6 ( x - 78 )

• y + 67 = 6 ( x - 67 )

Which equation is equivalent to:

• -6x + 12y = -15

• -4x + 6y = -7

• -2x + 12y = -15

• 15x + 3y + 2 = 0

• –15x – 3y – 2 = 0

Which two equations/graphs are the same?

• y = 5(x - 3) + 6

• y = 4/3x -1

• y = 3/4(x - 4) + 2

• y = 5x - 9

Which of the following is equivalent to 3x − 7y = −3

Which equation is equivalent to: 2x - 3 = 4?

• 2x = 6

• 2x - 6 = 1

• 2x + 3 = 7

• 2x + 3 = 4