5.3 Systems of equations

• There is no solution.

• There are an infinite number of solutions.

• 5

• 280

• 9

• 430

The tables if ordered pairs represent some points on the graphs of two lines.

Which system of equations is represented by the two lines?

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A system of equations is graphed on the grid.

Which system of equations is best represented by the graph?

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A system of linear equations is represented by line h and line j. A table represented some points on line h and the graph of line j are shown.

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An artist bought a set of 10 paintbrushes that contained x small paintbrushes and y large paintbrushes. The number of small paintbrushes in the set was 4 times the number of large paintbrushes in the set.

Which system of equations can be used to find the numbers of small paintbrushes and large paintbrushes in the set =?

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A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

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