Solving Linear Equations Steps

The video tutorial explains how to solve two algebraic equations by isolating the variable x. In the first equation, 2x/3 = 24, the instructor demonstrates how to eliminate fractions by multiplying both sides by the reciprocal, resulting in x = 36. In the second equation, 7x - 5/4 = 60, the instructor shows how to reverse operations in the correct order to isolate x, leading to the solution x = 35.

What is the first step in solving the equation 2x/3 = 24?

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 3/2

• Add 3 to both sides

Why do we multiply both sides of the equation 2x/3 = 24 by 3/2?

• To add a constant to both sides

• To simplify the equation

• To eliminate the fraction

• To change the variable

After simplifying the equation 2x/3 = 24, what is the value of x?

• 24

• 12

• 18

• 36

What is the equation used to find the value of x in the first problem?

• 3x = 36

• 7x - 5 = 245

• 2x/3 = 24

• x/2 = 12

What is the first step in solving the equation (7x - 5)/4 = 60?

• Multiply both sides by 4

• Subtract 7 from both sides

• Divide both sides by 7

• Add 5 to both sides

Why do we multiply both sides of the equation (7x - 5)/4 = 60 by 4?

• To simplify the equation

• To add a constant to both sides

• To eliminate the denominator

• To change the variable

What operation is performed after multiplying both sides by 4 in the equation (7x - 5)/4 = 60?

• Subtract 5 from both sides

• Divide by 7

• Add 5 to both sides

• Multiply by 7

What is the purpose of adding 5 to both sides in the equation 7x - 5 = 245?

• To add a constant to both sides

• To eliminate the 5 on the left side

• To change the variable

• To simplify the equation

What is the first operation performed in solving the equation 7x - 5 = 245?

• Divide by 7

• Subtract 5 from both sides

• Multiply by 7

• Add 5 to both sides

What is the final step in solving the equation 7x - 5 = 245?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide by 7

• Multiply by 7