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Published byLizbeth Hardy Modified over 9 years ago
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Solving 2-step equations ax + b = c
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Keep it balanced Just like when solving a one- step equation keep it balanced. Just like when solving a one- step equation keep it balanced. Save the co-efficient until last. Save the co-efficient until last.
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So what do we do first? In the equation In the equation 2x + 4 = 12 2x + 4 = 12 Our first step will be to subtract the 4 from each side of the equation. Our first step will be to subtract the 4 from each side of the equation.
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Step 1: 2x + 4 = 12 2x + 4 = 12 -4 = -4 -4 = -4 2x = 8 2x = 8 Now we have a one-step equation.
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Step 2: Divide by both sides by 2 2x = 8 2 2 2 2 x = 4 x = 4
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Now you try one 2x + 5 = 15 Which operation should you do first? Subtract the 5 first Subtract the 5 first
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2x + 5 = 15 What should your second step be? Divide by 2
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So what was your answer? 2x + 5 = 15 - 5 = -5 - 5 = -5 2x = 10 2x = 10 2 2 2 2 x = 5 x = 5
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What if there is division in the equation? X - 6 = 25 4 What is your first step? Add the 6 to each side
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What is your second step? X - 6 = 25 4 Multiply by 4
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So what is your answer? X - 6 = 25 4 + 6 = + 6 + 6 = + 6 x = 31 x = 31 4
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Now multiply by 4 4* X = 31 * 4 4* X = 31 * 4 4 x = 124 x = 124
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