systems of equations , math homework help
correctly answer and provide explanation
A student solves the system of equations given below. In which line is an error first made?
2x - y = 6
2x + y = 10
Line 1 2x - y = 6
– 2x + y = 10
Line 2 0 = 4
Line 3 0 ≠-4 so there is no solution
a. Line 1
b. Line 2
c. Line 3
d. There is no error
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Which of the following situations would give you a system of equations that have at least 2 solutions?
a.Two lines are parallel and have different y-intercepts.
b. Two lines have the same slope and both pass through the origin.
c. Two lines are perpendicular and have the same y-intercept.
d. Two lines have negative slopes and different y-intercepts.
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What is the best estimate for the solution to the system of equations shown on the graph below?
a. (2, 3)
b. (3, 2)
c. (2.5, 3.5)
d. (3.5, 2.5)
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Solve the system of equations.
3x = -31 + 2y
5x + 6y = 23
a. x = -5, y = 8
b. x = - 29, y = - 28
c. no solution
d. infinite solutions
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Solve the system of equations.
6d + 3f = 12
2d = 8 - f
a. d= 3, f = 2
b. d = 3, f = 14
c. no solution
d. infinite solutions
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Which of the following systems is consistent and dependent?
a. y = x + 4; y = x - 4
b. x + y = 4; 2x + 2y = 6
c. 3x + y = 3; 2y = 6x + 6
d. 4x - 2y = 6; 6x - 3y = 9
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Which graph shows a system of equations with no solution?
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A.
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B.
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C.
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D.
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The caterer at a brunch bought several pounds of chicken salad and several pounds of tuna salad. The chicken salad cost $9 per pound, and the tuna salad cost $6 per pound. He bought a total of 14 pounds of salad and paid a total of $111. How much chicken salad did he
buy?
a. 6 pounds
b. 7 pounds
c. 8 pounds
d. 9 pounds
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In order to practice at home, Tadeo purchased a basketball and a volleyball that cost a total of $67, not including tax. If the price of the basketball b is $4 more than twice the cost of the volleyball v. Which system of linear equations could be used to determine the price of each ball?
a. b + v = 67; b = 2v - 4
b. b + v = 67; b = 2v + 4
c. b + v = 4; b = 2v - 67
d. b + v = 4; b = 2v + 67
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Which of the following best describes the graph of the equations?
4y = 3x + 8
-6x = -8y + 24
a. The lines are parallel
b. The lines have the same x-intercept
c. The lines are perpendicular
d. The lines have the same y-intercept
