Solve a two step equation with a fractional coefficient

The video tutorial explains how to solve a two-step equation involving a fraction. It begins by addressing the equation 1/5x - 3 = 17, emphasizing the importance of reversing operations to isolate the variable. The tutorial demonstrates adding 3 to both sides to eliminate subtraction, followed by multiplying by the reciprocal of 1/5 to isolate x. The solution is verified by substituting the value back into the original equation, confirming that x equals 100.

What is the first step in solving the equation 1/5x - 3 = 17?

• Subtract 3 from both sides

• Divide both sides by 1/5

• Add 3 to both sides

• Multiply both sides by 5

What is the reciprocal of 1/5?

• 1/5

• 5

• 1

• 10

Why do we multiply by the reciprocal when solving equations with fractions?

• To simplify the equation

• To make the fraction larger

• To eliminate the variable

• To isolate the variable

What is the value of x in the equation 1/5x = 20?

• 5

• 20

• 25

• 100

How can you verify that x = 100 is the correct solution?

• By checking if 100 times 1/5 equals 20

• By checking if 100 plus 3 equals 20

• By checking if 100 divided by 5 equals 20

• By checking if 100 minus 3 equals 17