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Substition, don't understand it.
Which expression can be substituted for x in the top equation of the system below to solve the system by substitution?
2x + 10y = 1 x – 4y = –4 1. 4y – 1 2. y – 4 3. 4y – 4 4. 4 – 4y I need some help with substition, here is a problem.. can you help me work through it. Please don't give me the answer, just tell me what I have to do. I tried putting them all into the equation, but the answers I get are not logical, I am so confused! |
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Get x on your x - 4y = 4 equation alone. Then substitute that into the top equation where you see X. Combine the like terms and solve. good luck! |
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Would it end up being 4y-4? |
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Right! :) In fact, in substitution, you need to substitute a term by an expression. Say x = y + 1 x = -2y + 2 You will use the fact that x is also equal to -2y + 2 to solve the first equation. From this example, you know that x = y + 1, but is also equal to -2y + 2. This gives: y + 1 = -2y + 2 This time, there is only one variable, hence, is easily solved. Say now, if I turned the second equation around, this gives: x + 2y = 2. x = y + 1 x + 2y = 2 Do you realise that it's the same problem, but only 'twisted' in another way? |
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