Solving Systems by Substitution
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Solving Systems by Substitution
Solving systems by substitution: eight systems such as y = −2x + 1 and 5x − y = −29, one letter already alone, with room to work. Grade 8, with an answer key.
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Make a new sheetSheet 1205 of 9999, each with its own answer key · Back to Sheet 1
- Pages
- 1
- Last updated
- Time
- About 25 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Solve two linear equations together by graphing, by substitution or by elimination, check a solution in both equations, and tell when a system has one solution, none or infinitely many.
Reviewed by Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child choose the method first: substitution if a variable is already alone, elimination if a variable will cancel.
- Solve for one variable, then put it back to find the other. Two numbers make the answer.
- Check the pair in both equations, not only the one used last.
Common mistakes
- Stopping after finding x. A solution is a pair, x and y.
- In elimination, multiplying only one side of an equation, or only some terms.
- Reading the intersection point from a graph without checking its scale.