Solving Equations with Fractions as Coefficients

This video tutorial teaches how to solve linear equations using the multiplicative inverse. It begins with an introduction to linear equations and the properties of equality, emphasizing the need to perform the same operation on both sides of an equation. The concept of the multiplicative inverse is explained, highlighting its role in solving equations with fractional coefficients. The tutorial demonstrates solving equations by multiplying both sides by the reciprocal of the coefficient and stresses the importance of verifying solutions by substituting them back into the original equation.

What is the first step in solving the equation X + 2 = 5?

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the multiplicative inverse of 4/3?

• 3/4

• 3/1

• 4/3

• 1/4

If 4/3 X = 4, what is the value of X?

• 3

• 4

• 1

• 2

What operation is performed to both sides of the equation -2/5 X = 10 to solve for X?

• Divide by -5/2

• Multiply by 5/2

• Divide by 2/5

• Multiply by -5/2

What is the solution for the equation -2/5 X = 10?

• -25

• -10

• 10

• 25