Understanding Linear Inverse Equations

What is the first step in writing a linear inverse equation?

• Switch the x and y variables

• Divide by the coefficient of y

• Add a constant to both sides

• Multiply by the reciprocal

In the first example, after switching x and y, what operation is performed next?

• Divide by 2

• Add 7 to both sides

• Multiply by 2

• Subtract 7 from both sides

How do you eliminate a fraction coefficient in a linear equation?

• Add the fraction to both sides

• Multiply by the reciprocal of the fraction

• Divide by the fraction

• Subtract the fraction from both sides

What is the purpose of multiplying by the reciprocal in the second example?

• To isolate x

• To add a constant

• To eliminate the fraction coefficient

• To switch x and y

When dividing by a negative number, what should you remember?

• The negative sign should be multiplied by the denominator

• The negative sign should be ignored

• The negative sign should be distributed to the numerator

• The negative sign should be added to both sides