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# Solving equations

## on Mar 25, 2011

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## Solving equationsPresentation Transcript

• Solving Equations
• 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