Page 76 - math 12

R ﻲﻓ ﻦﻴﺗﻮﻄﺨﺑ ٍﺪﺣﺍﻭ ﺮﻴﻐﺘﻤﺑ ﻰﻟﻭﻻﺍ ﺔﺟﺭﺪﻟﺍ ﻦﻣ ٍﺕﻻﺩﺎﻌﻣ ﻞﺣ ُ ﺱﺭﺪﻟﺍ
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Solving Two-Steps First Degree Equations with One Variable in R [4-1]

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ﻢﻠَﻌَﺗ ﺱﺭﺪﻟﺍ ُﺓﺮﻜﻓ
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ﺭﻮﻴﻁ
ﺭﻮﻴﻁ ﻦﻣ ﺹﺎﻔﻗﺃ 5 ﺪﻤﺣﺃ ﻯﺪﻟ ﺔﺟﺭﺪﻟﺍ ﻦﻣ ٍﺔﻟﺩﺎﻌﻣ ﻞﺣ
ﻦﻣ
ﺹﺎﻔﻗﺃ

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ﻦﻣ ﺹﺎﻔﻗ
ﻦﻣ ﺹﺎﻔﻗﺃ 4 ﺱﺍﺮﻓ ﻯﺪﻟﻭ ﻱﺭﺎﻨﻜﻟﺍ ٍﺪﺣﺍﻭ ﺮﻴﻐﺘﻤﺑ ﻰﻟﻭﻻﺍ
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ﻦﻣ ﺭﻮﻴﻁ 8 ﺪﻤﺣﺃ ﺝﺮﺧﺍ .ﺭﻮﻴﻄﻟﺍ . ﻦﻴﺗﻮﻄﺨﺑ
ﻦﻣ ﺭﻮﻴﻁ
ﺱﺍﺮﻓ ﺭﻮﻴﻁ ﻰﻟﺍ ﺎﻬﻓﺎﺿﺍﻭ ﻪﺻﺎﻔﻗﺁ ﺕﺍﺩﺮﻔﻤﻟﺍ
ﺱﺍﺮﻓ ﺭﻮﻴﻁ ﻰﻟﺍ ﺎﻬﻓﺎﺿﺍﻭ ﻪﺻﺎﻔﻗﺁ
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ﺭﻮﻴﻄﻟﺍ ﺩﺪﻋ ﺎﻤﻬﻨﻣ ﻞﻛ ﻯﺪﻟ ﺢﺒﺼﻴﻟ . ٍﺪﺣﺍﻭ ﺮﻴﻐﺘﻤﺑ ﺔﻟﺩﺎﻌﻣ
ﺭﻮﻴﻄﻟﺍ ﺩﺪﻋ ﺎﻤﻬﻨﻣ ﻞﻛ ﻯﺪﻟ ﺢﺒﺼﻴﻟ
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ﱞﱞ
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ﻞﻜﺸﺑ ﺭﻮﻴﻄﻟﺍ ﺖﻋﺯﻭ ﺍﺫﺇ ،ﻪﺴﻔﻧ . ﻰﻟﻭﻻﺍ ﺔﺟﺭﺪﻟﺍ ﻦﻣ ﺔﻟﺩﺎﻌﻣ
ﻞﻜﺸﺑ ﺭﻮﻴﻄﻟﺍ ﺖﻋﺯﻭ ﺍﺫﺇ ،ﻪﺴﻔﻧ
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ﺩﺪﻋ ْﺪﺠﻓ ،ﺹﺎﻔﻗﻷﺍ ﻰﻠﻋ ﻭﺎﺴﺘﻣ . ﺔﻟﺩﺎﻌﻤﻟﺍ ﻞﺣ
ﺩﺪﻋ ْﺪﺠﻓ ،ﺹﺎﻔﻗﻷﺍ ﻰﻠﻋ ﻭﺎﺴﺘﻣ
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.ﺺﻔﻗ ﻞﻛ ﻲﻓ ﺭﻮﻴﻄﻟﺍ . ﻖﻘﺤﺘﻟﺍ
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ﺡﺮﻄﻟﺍﻭ ﻊﻤﺠﻟﺍ ﻝﺎﻤﻌﺘﺳﺎﺑ ِﺕﻻﺩﺎﻌﻤﻟﺍ ﻞﺣ [4-1-1]
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Solving the Equations by using Addition and Subtraction
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. ٌﺪﺣﺍﻭ ﺓﻮﻘﻟﺍ ﻦﻣﻭ ٌﺪﺣﺍﻭ ٌﺮﻴﻐﺘﻣ ﺎﻬﻴﻓ ﻲﺘﻟﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﻲﻫ ٍﺪﺣﺍﻭ ﺮﻴﻐﺘﻤﺑ ﻰﻟﻭﻷﺍ ﺔﺟﺭﺪﻟﺍ ﻦﻣ ﺔﻟﺩﺎﻌﻤﻟﺍ
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ِ ﻑﺮﻄﻟﺍ ﻲﻓ ﺩﺍﺪﻋﻷﺍﻭ ٍﻑﺮﻁ ﻲﻓ ﺮﻴﻐﺘﻤﻟﺍ ﻊﺿ ِﺔﻟﺩﺎﻌﻤﻟﺍ ﻞﺤﻟﻭ ،ﺎﻬﻴﻓ ﺮﻴﻐﺘﻤﻟﺍ ﺔﻤﻴﻗ ﺩﺎﺠﻳﺇ ﻲﻨﻌﻳ ِﺔﻟﺩﺎﻌﻤﻟﺍ ﻞﺣ
ﱢ
ﱡ
.ﺮﺧﻵﺍ
. ﺺﻔﻗ ﻞﻛ ﻲﻓ ﺭﻮﻴﻄﻟﺍ َﺩﺪﻋ ْﺪﺟ (1) ﻝﺎﺜﻣ
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x ﻮﻫ ﺺﻔﻗ ﻞﻛ ﻲﻓ ﺭﻮﻴﻄﻟﺍ ﺩﺪﻋ ﺽﺮﻓﺍ
5x - 8 = 4x +8 ﻲﻫ ﺔﻟﺄﺴﻤﻟﺍ ﻞﺜﻤﺗ ﻲﺘﻟﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﺍﺬﻟ
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ﺔﻴﺳﺃﺮﻟﺍ ﺔﻘﻳﺮﻄﻟﺍ :ﻰﻟﻭﻷﺍ ﺔﻘﻳﺮﻄﻟﺍ

5x - 8 = 4x +8 ﺔﻟﺩﺎﻌﻤﻟﺍ ﺐﺘﻛﺃ

-4x - 4x -4x

ﻑﺮﻁ ﻞﻛ ﻰﻟﺍ ﻒﺿﺍ

x- 8 = +8

+8 +8

x = 16 ٍﻑﺮﻁ ﻞﻛ ﻰﻟﺍ + 8 ﻒﺿﺍ

ًﺍﺮﻴﻁ 16 ﻮﻫ ﺺﻔﻗ ﻞﻛ ﻲﻓ ﺭﻮﻴﻄﻟﺍ ﺩﺪﻋ ﺍﺬﻟ
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َ
ﺔﻴﻘﻓﻻﺍ ﺔﻘﻳﺮﻄﻟﺍ :ﺔﻴﻧﺎﺜﻟﺍ ﺔﻘﻳﺮﻄﻟﺍ

5x - 8 = 4x +8 ُ

ﺔﻟﺩﺎﻌﻤﻟﺍ ﺐﺘﻛﺃ

5x - 8 -4x = 4x -4x+8

x- 8 = 8 -4x ٍﻑﺮﻁ ﻞﻛ ﻰﻟﺍ ﻒﺿﺍ

x-8 +8 = 8 +8

x = 16 ٍﻑﺮﻁ ﻞﻛ ﻰﻟﺍ + 8 ﻒﺿﺍ

ًﺍﺮﻴﻁ 16 ﻮﻫ ﺺﻔﻗ ﻞﻛ ﻲﻓ ﺭﻮﻴﻄﻟﺍ ُﺩﺪﻋ ﺍﺬﻟ
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؟ : ِﺔﻟﺩﺎﻌﻤﻟﺎﺑ ﻞﺤﻟﺍ ﻦﻣ ﺎﻬﻴﻠﻋ َﺖﻠﺼﺣ ﻲﺘﻟﺍ (x=16 ) ﺮﻴﻐﺘﻤﻟﺍ ﺔﻤﻴﻗ ﻦﻋ ﺽﻮﻋ :ﻖﻘﺤﺘﻟﺍ

5x -8 = 4x +8
5 (16)-8 4(16) + 8
72 = 72
75