Math 10 Ch 9 TR BLMs
Section 9.2 Extra Practice
1. Solve using elimination.
a) x + y = 4
x – y = 10
b) 4x – 5y = –28
4x – y = 4
c) 5x – 3y – 2 = 0
–4x + 3y – 2 = 0
2. Solve using elimination.
a) 5 = 6x + 2y
2y = x + 5
b) y + 6 = x
y = –3x + 2
c) 8y = 2x + 8
8y – 3x – 4 = 0
3. Solve the following systems of equations by elimination. Verify your answers.
a) 2x + y = 15
5x – 6y = –22
b) 2x – 15y = 7
x – 6y = 4
c) 3x + 2y = 0
8x + 7y = 5
4. Solve using the elimination method.
a) [pic]x –[pic]y = –4
x + 7y = 12
b) 8x + y = 2
3x + [pic]y = 0
c) [pic]x + [pic]y = 1
[pic]x + [pic]y = –5
5. Solve using the elimination method.
a) –3(y – x) = 14 – 4y
2x + 26 = 4(x + y)
b) 2(x + y) = –2 – 4x
14x + 27 = 3x + y
c) y – 2 = 5(x + 2)
y + 2 = 3(x + 4)
6. Solve, if possible, by elimination.
a) 3x – y = –5
6x – 2y = 0
b) 2x – 4y = 6
x – 2y = 3
c) x + y + 12 = 0
3y = –3x + 12
7. The difference of two numbers is 18. Their sum is 42. Determine the numbers.
8. A motorboat travels 4 km downstream
in 0.5 h, and travels the same distance upstream in 2 h. Determine the speed of the boat in still water.
9. Max invested $15 000 in two different funds. One earned 6% interest in the first year and the other earned 8%, for a total of $1100 in interest. Determine how much he invested in each fund.
10. The perimeter of a rectangle is 76 m. The width is doubled and the length is halved. The new rectangle has a perimeter of 62 m. Determine the dimensions of the original rectangle.
Section 9.2 Extra Practice
1. a) x = 7 and y = –3 b) x = 3 and y = 8
c) x = 4 and y = 6
2. a) x = 0 and y = [pic] b) x = 2 and y = –4
c) x = 4 and y = 2
3. a) x = 4 and y = 7 b) x = 6 and y = [pic]
c) x = –2 and y = 3
4. a) x = –2 and y = 2 b) x = –[pic]and y = 6
c) x = 9 and y = –6
5. a) x = 3 and y = 5 b) x = –2 and y = 5
c) x = –1 and y = 7
6. a) no solution b) infinite number of solutions
c) no solution
7. 12 and 30 8. 5 km/h
9. $5000 at 6% and $10 000 at 8%
10. length = 30 m and width = 8 m
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