Algebra Linear Equations Variables on Both Sides

Select the answer choice that represents infinite solutions.

• x = x

• x = 4

• x = y

• x= -x

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 1 hour

• 2 hours

• 3 hours

• 4 hours

When solving an equation with a fraction, how do you get rid of said fraction?

• Multiply both sides of the equation by the least common denominator.

• Leave the fraction and move on.

• Multiply both sides of the equation by the numerator.

• Divide both sides of the equation by its reciprocal.

-7x - 36 = 20 -3x

• -12

• -14

• 15

• 8

-2y + 8 = 4y - 10

• y = 3

• y = -3

• y = 6

• y = -6

7x - 11 = 5x + 25

• 18

• 17

• 16

• 15

-x - 163 = 12x + 84

• 17

• 18

• 19

• 20

-38 + 6x = 52 + 3x

• 20

• 30

• 40

• 10

-4x = 8x + 24

• x = -6

• x = 4

• x = 6

• x = -2

3x = 15 - 2x

• x = 9

• x = 3

• x = -3

• x = 6