Solving Equations

Overview

Boddu S Rao

A linear or First degree Equation• Eg. 2y+1 = 13

1.Solving linear equations by using inverse operations

• x – 7 = -3• + 7 = +7 (adding 7 on each side)• --------------• X = 4

3x = 21

• 3x / 3 = 21 /3 ( dividing each by 3)• X = 7

Solving Equations with parentheses

Solve 3(b+2) +2b = 21

3(b+2) +2b = 21

• 3b+6 +2b = 21• 5b+6 = 21• 5b+6-6 = 21-6• 5b = 15• 5b/5 = 15/ 5• Therefore b = 3

Solving equation contains fractions

m/3 – m/4 = 2

m/3 – m/4 = 2

• 12(m/3) – 12(m/4) = 12(2) [ L.C.M. of 3 &4 is 12)

• 4m – 3m = 24• So, m= 24

Solving Equations by cross multiplying• If x / 3 = (x + 4)/5 , what is the value of x?

If x / 3 = (x + 4)/5 , what is the value of x?• 5(x) = 3(x+4)• 5x = 3x +12• 2x = 12 • x = 12 / 2• Therefore x= 6

Using A root of an equation to answer a question

• If 3y – 2 = 4 , what is the value of y – 2 ?

If 3y – 2 = 4 , what is the value of y – 2 ?

• If 3y – 2 = 4 ,then 3y = 6 • Therefore y = 2• The value of y-2 = 2 – 2 = 0

The END

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