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100
Solve using subsitution: y=3x+2, 2x+y=17
x=3, y=11
100
In words, what would be your first step to solve this linear system?: y+7=7x, 13x-3y=5
Isolate the y variable on the equation where the variable has a coefficient of 1. (y=7x-7)
100
Solve using substitution: x=y+4, 2x-y=11
x=7, y=3
100
Solve using substitution: y=2x-3, x+y=30
x=11, y=19
100
Does this linear system have a point of intersection? Why or why not?: y=x+1, y=x+2
No, because the lines are parallel.
200
What is the first step in solving this linear system?: -3x+4y=6, 9x+3y=27
Write equation 2 like this: -3(-3x)+3y=27
200
Solve this linear system: 40x+10y=10, 3x+5y=5
x=0, y=1
200
Solve this linear system: -3x+6y=9, 5x-2y=-7
x=-1, y=1
200
Solve this linear system: 2x-3y=2, 4x-4y=2
x=-1/2, y=-1
200
Solve this linear system: 3x+y=7, 5x+2y=13
x=1, y=4
300
Many researchers such as those at the Canadian Fossil Discovery Centre at Morden, Manitoba, involve students to help unearth fossil reamins 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?
Equations: x+y=11 and 4x+5y=47; Answer: 8 groups of 4 and 3 groups of 5
300
Solve this linear system: 2x-y=-4, 3x+2y=1
x=-1, y=2
300
An art gallery has a collection of 85 Northwest Coast masks of people and animals. Sixty percent of the people masks and 40% of the animal masks are made of yellow cedar. The total n umber of yellow cedar masks is 38. How many people masks and how many animal masks are there?
20 people masks, 65 animal masks
300
Why would you multiply equation 1 by 4 and equation 2 by 6 before solving this linear system?: -3/2x-1/4y=-1/2, 1/3x+5/6y=19/3
Because you have to get rid of the fraction and make it an integer by using common denominators.
300
Solve this linear system: 0.6x-0.2y=-0.2, -0.03x-0.07y=0.17
x=-1, y=-2
400
What is the biggest advantage of using algebra to solve linear equations instead of graphing?
More accurate because it isn't approximate.(Not using the naked eye)
400
Solve this linear system: 7/4x+4/3y=3, 1/2x-5/6y=2
x=124/51, y=-16/17
400
What would you multiply this equation by to get rid of the fractions?: -3/2x-1/4y=-1/2
4
400
Solve this linear system: 3/4x + 1/2y = -7/12, x-y=-4/3
x=-1, y=1/3
400
Solve using substitution: 7x+y=10, 3x-2y=-3
x=1, y=3
500
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?
15 weekends
500
Solve this linear system: -0.5x+0.2y=-1, 0.3x-0.6y=-1.8
x=4, y=5
500
Write and solve a linear system to model the situation: When 30 identical rectangular tables are placed end to end, their perimeter is 306 ft. When the same tables are placed side by side, their perimeter is 190 ft.
Equations: 60x+2y=306, 2x+60y=190; Answers: x=5, y=3
500
1+1=?
2
500
Solve this linear system: x-1/3y=4/3, 5/6x+1/2y=3/2
x=3/2, y=1/2 OR x=1.2, y=0.5