solving equations
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Solving EquationsSolving Equations
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A linear or First degree A linear or First degree EquationEquation
• Eg. 2y+1 = 13Eg. 2y+1 = 13
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1.Solving linear equations 1.Solving linear equations by using inverse operationsby using inverse operations
x – 7 = -3x – 7 = -3 + 7 = +7 (adding 7 on each side)+ 7 = +7 (adding 7 on each side) ---------------------------- X = 4X = 4
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3x = 213x = 21
3x / 3 = 21 /3 ( dividing each by 3)3x / 3 = 21 /3 ( dividing each by 3) X = 7X = 7
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Solving Equations with Solving Equations with parenthesesparentheses
Solve 3(b+2) +2b = 21Solve 3(b+2) +2b = 21
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3(b+2) +2b = 213(b+2) +2b = 21
3b+6 +2b = 213b+6 +2b = 21 5b+6 = 215b+6 = 21 5b+6-6 = 21-65b+6-6 = 21-6 5b = 155b = 15 5b/5 = 15/ 55b/5 = 15/ 5 Therefore b = 3Therefore b = 3
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Solving equation contains fractions
m/3 – m/4 = 2
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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
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Solving Equations by cross multiplying
If x / 3 = (x + 4)/5 , what is the value of x?
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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
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Using A root of an equation to Using A root of an equation to answer a questionanswer a question
If 3y – 2 = 4 , what is the value If 3y – 2 = 4 , what is the value of y – 2 ?of y – 2 ?
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If 3y – 2 = 4 , what is the value of If 3y – 2 = 4 , what is the value of y – 2 ?y – 2 ?
If 3y – 2 = 4 ,then 3y = 6 If 3y – 2 = 4 ,then 3y = 6 Therefore y = 2Therefore y = 2 The value of y-2 = 2 – 2 = 0The value of y-2 = 2 – 2 = 0
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The ENDThe END