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7.4 Using Substitution to Solve a System of Linear Equations
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Terms in this set (24)
x = 16, y = -7
Use substitution to solve.
y = 9 - x
2x + 3y = 11
x = 6, y = 7
Use substitution to solve.
x = y - 1
3x - y = 11
x = -1, y = -8
Use substitution to solve.
x = 7 + y
2x + y = -10
x = 1, y = 4
Use substitution to solve.
3x + y = 7
y = x + 3
x = -2, y = 5
Use substitution to solve.
2x + 3y = 11
4x - y = -13
x = -2, y = 3
Use substitution to solve.
4x + y = -5
2x + 3y = 5
x = 3, y = 5
Use substitution to solve.
x + 2y = 13
2x - 3y = -9
x = 1, y = 4
Use substitution to solve.
3x + y = 7
5x + 2y = 13
x = 1/2, y = -1
Use substitution to solve.
2x - 3y = 2
4x - 4y = 2
x = 0, y = 1
Use substitution to solve.
40x + 10y = 10
3x + 5y = 5
x = -1, y = 1
Use substitution to solve.
-3x +6y = 9
5x - 2y = -7
x = 2, y = 3
Use substitution to solve.
-3x + 4y = 6
9x + 3y = 27
r + n = 186 and n - r = 94
46 bears responded; 140 bears did not respond.
Write a linear system to model and solve.
A study recorded the reactions of 186 polar
bears as they were approached by a tundra
buggy. Some bears did not appear to respond, while others responded by sitting, standing, walking away, or running away. There were 94
more bears that did not respond than did respond. How many bears responded and how many bears did not respond?
2l + 2w = 540 and l - w = 90
Length: 180 cm; width: 90 cm
Write a linear system to model and solve.
Louise purchased a Métis flag whose length was
90 cm longer than its width. The perimeter of the flag was 540 cm.What are the dimensions of the flag?
s + a = 45 and 0.8s + 0.6a = 31
20 students and 25 adults
Write a linear system to model and solve.
Forty-five high school students and adults were
surveyed about their use of the internet. Thirty one
people reported a heavy use of the internet.
This was 80% of the high school students and 60% of the adults. How many students and how many adults were in the study?
x + y = 11 and 4x + 5y = 47
8 groups of 4 and 3 groups of 5
Write a linear system to model and solve.
Many researchers, such as those at the Canadian Fossil Discovery Centre at Morden,
Manitoba, involve students to help unearth fossil remains of 80 million-year-old reptiles.
Forty-seven students are searching for fossils in
11 groups of 4 or 5. How many groups of 4 and
how many groups of 5 are searching?
0.80A + 0.92B = 63 and A + B = 75
Part A: 50 marks; part B: 25 marks
Write a linear system to model and solve.
Sam scored 80% on part A of a math test and 92% on part B of the math test.His total mark for the test was 63. The total mark possible for the test was 75.How many marks is each part worth?
x + y = 5000
0.025x + 0.0375y = 162.50
Two thousand dollars in the 2.5% bond; $3000 in the 3.75% bond
Write a linear system to model and solve.
Five thousand dollars was invested in two savings bonds for one year. One bond earned interest at an annual rate of 2.5%. The other bond earned 3.75% per year. The total interest
earned was $162.50. How much money was invested in each bond?
76s + 49d = 474.25
54s + 37d = 346.25
Single-scoop cone: $3.50; double-scoop cone: $4.25
Write a linear system to model and solve.
Tess has a part-time job at an ice-cream store.
On Saturday, she sold 76 single-scoop cones and 49 double-scoop cones for a total revenue of $474.25. On Sunday, Tess sold 54 single scoop cones and 37 double-scoop cones for a total revenue of $346.25.What is the cost of each cone?
Joel would have to work 15 weekends before he earns the
same amount as Sue.
Write a linear system to model and solve.
Joel has a part-time job that pays him $40 per weekend. Sue has a part-time job that paid a starting bonus of $150, then $30 per weekend.
For how many weekends would Joel have to work before he earns the same amount as Sue?
Justify your answer.
x = 6, y = -3
Solve
x = -1, y = 1/3
Solve
x = - 42/ 13 , y = - 72/ 13
Solve
x = 124/51 , y = -16/17
Solve
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