Solving Linear Equations Steps

This video tutorial teaches how to solve linear equations with unknowns on both sides. It provides multiple examples, starting with simple equations and progressing to more complex ones involving fractions. The tutorial emphasizes grouping variables on one side and constants on the other, using inverse operations to isolate the variable, and verifying solutions by substitution.

What is the first step in solving an equation with variables on both sides?

• Divide both sides by the same number.

• Group all variable terms on one side.

• Multiply both sides by the same number.

• Add the same number to both sides.

In the equation 3x + 5 = 4x - 2, what should you do to eliminate 3x from the left side?

• Divide both sides by 3.

• Multiply both sides by 3.

• Subtract 3x from both sides.

• Add 3x to both sides.

After simplifying 3x + 5 = 4x - 2, what is the value of x?

• x = 7

• x = 8

• x = 6

• x = 5

In the equation x - 6 = 7 + 2x, what is the first step to isolate x?

• Add 7 to both sides.

• Add 6 to both sides.

• Subtract x from both sides.

• Subtract 2x from both sides.

What is the solution to the equation x - 6 = 7 + 2x?

• x = -7

• x = 7

• x = -13

• x = 13

In the equation 8x - 5 = 4x + 7, why is it preferable to move 4x to the left side?

• To simplify the equation.

• To make x positive.

• To make calculations easier.

• To avoid negative numbers.

What is the value of x in the equation 8x - 5 = 4x + 7?

• x = 5

• x = 4

• x = 3

• x = 2

In the equation 2 + 3y = y - 7, what is the first step to solve for y?

• Subtract 2 from both sides.

• Add 7 to both sides.

• Subtract y from both sides.

• Add y to both sides.

What is the solution to the equation 2 + 3y = y - 7?

• y = -4.5

• y = 4.5

• y = -3

• y = 3

In the equation 5 - y = 2y + 7, what should you do to eliminate y from the left side?

• Add 2y to both sides.

• Subtract y from both sides.

• Subtract 2y from both sides.

• Add y to both sides.