Exam 4: Linear Systems

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Find the slope and y-intercept: 43 + 7y = 16x

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Graph: x = 5y

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Solve for x and y: 34x + 8y = 42 2y = Solve for x and y: 34x + 8y = 42 2y =   x +  x + Solve for x and y: 34x + 8y = 42 2y =   x +

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An electrician charges a flat fee of $90 for a home service call. In addition he charges $25 for every 20 minutes as labour cost. If one writes an equation to calculate total charges in terms of hours of labour, what will be the slope of the line?

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Find the slope and y-intercept: 4x + 5y = 31

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The difference of two numbers is 3. Their sum is 13. Find the numbers.

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Graph: y = 3 - 2x

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Find the y-intercept for the following equation: 8x = 2 + y

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1000 tickets were sold for Cirque du Soleil. Adult tickets cost $8.50, children's cost $4.50, and a total of $7300 was collected. How many tickets were sold to adults?

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Find the slope of the line: 2y = 5(x + 2)

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Graph the system x = 2y and -x - y + 3 = 0 for all values of x from x = -3 to x = 3

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Solve graphically: 4x = -3y and 42 - 7y = 3x

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Calculate the x-intercept and y-intercept for the following equation: -x + 2y = 8

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Find the slope of the following: 2y - 3x = 6

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The age difference between my son and me is 30 years. In 3 years from today, I will be thrice as old as my son. What is my age now?

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Find the slope and y-intercept: 1.5x + 3y = 2.4

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Find the slope and y-intercept: 4.5x + 9y = 81

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Find the slope and y-intercept: 3y - 5 = 2(x - 2)

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Solve graphically: x = y, 2y = x - 200

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Two brothers decide to invest in a vacant lot which cost $51 000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?

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