Chapter BC3 - Solving Pairs of Equations
6/04
DRILL SHEET
Solve by substitution:
1.
2x – 3y = -13
y = 4x + 1
2. –x + 2y = 8
x= y–5
1. (1, 5)
2. (-2, 3)
3. 3x – 2y = 7
x = -2y + 1
1
3. (2, - 2 )
4. y = 4x + 1
y = 2x – 7
4. (-4, -15)
5. 2x – 6y = 7
x = 3y + 5
5. { }
1
Chapter BC3 - Solving Pairs of Equations
6/04
Solve by elimination:
1.
x + 2y = 1
2x – 2y = 8
1. (3, -1)
2. 3x + 2y = 1
-3x – y = 7
2. (-5, 8)
3. 2x – 3y = -13
5x + y = -7
3. (-2, 3)
4. x + y = 6
x + 3y = 10
4. (4, 2)
5. 2x + 3y = 7
x+ y=4
5. (5, -1)
6. 3x – y = 3
2x + y = 7
6. (2, 3)
7. 4x + 3y = 15
2x – 5y = -25
7. (0, 5)
8. 4x – 3y = 5
-3x + 2y = -2
8. (-4, -7)
9. 2x – 7y = 15
3x – 2y = 14
9.
10. 3x – 2y = 7
6x – 4y = 1
10.
(4, -1)
{ }
2
Chapter BC3 - Solving Pairs of Equations
6/04
Solve using any method:
1. x + y = 9
x – y = -1
1. (4,5)
2. 2x – 5y = 1
x = 3y
2. (3, 1)
3. 3x + y = 0
x – 2y = -14
3. (-2, 6)
4. 3x – 2y = 11
2x + 5y = 39
4. (7, 5)
5.
x + 2y = 9
2x + 4y = 3
5. { }
6. 3x – y = 2
y = -x + 4
3 5
6. ( 2 , 2 )
7. –2x + y = -7
x – 18y = 21
7. (3, -1)
8. 2x + 5y = 3
3x + 4y = -6
8. (-6, 3)
9. 6x – 2y = 5
y = 3x – 1
9. { }
10. 2x – 3y = -18
-4x + 2y = 20
10. (-3, 4)
3
Chapter BC3 - Solving Pairs of Equations
6/04
4
Application:
1. For $50, a customer can buy 4 cans of regular coffee
and 5 cans of decaffeinated coffee. While 6 cans of
regular coffee and 4 cans of decaffeinated coffee costs
$54. How much does one can of each type of coffee cost?
1. regular coffee $5
decaffeinated coffee $6
2. An office supply store sells 7 pads of paper and 4 pens for
$18. For $12, a customer can buy 3 pads of paper and 6
pens. How much does each item cost?
2. paper is $2
pens are $1
3. A crew of 4 electricians and 5 helpers earn $1092. On
another day, working the same hours and at the same rate,
5 electricians and 6 helpers earn $1344. How much does
each type worker make?
3. Electrician earns $168
Helper earns $84
4. A team manager buys 7 shirts and 4 pairs of shoes for $300. 4. Shirts $20
Having not bought enough, he goes back and buys 3 shirts
Shoes $40
and 6 pairs of shoes for $300. How much did he pay for
each shirt and each pair of shoes?