SME
Grade 8 Math · Problem type
How many solutions does the system have?
Use this for “Do y = 3x − 2 and y = 3x + 5 have a solution?”
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How many solutions does the system have?
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Assumptions
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Write each line as y = mx + b and compare the slopes first.
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Different slopes: the lines cross once. Same slope, different intercepts: parallel.
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Same slope and same intercept: the same line, so every point on it is a solution.
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Systems of two linear equations
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