6.10 Solving Systems by Elimination #2
6.10 Solving Systems by Elimination #2 Video Notes
1. We are going to the movies. This particular theater charges a different price for adults and youth.
Bonnie brought her family of 4 kids and 2 adults for $33. Mark brought his family of 3 kids and 1 adult
for $21.50.
a. Write the two equations.
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b. Solve this problem using elimination
Youth Ticket ______
2. 2x + y = 3
-x + 3y = -12
Solution (
Steps
Adult Ticket ______
6.
,
)
3x + 4y = 18
4x – 8y = -32
Solution (
,
)
6.10 Solving Systems by Elimination #2
Bell work:
1. Henry and his family are going to the movies. Each adult ticket is $7.50 and each child’s ticket is $6.25.
They spent a total of $40 to get into the theater. His family brought a total of 6 people. How many kids
did they bring?
Which method would you use to solve the following problems and why?
(graphing, substitution, table, elimination)
2. 4x – 6y = 6
2x - 3y = -12
3. x = 3y + 5
3x + 4y = 20
4. y = -30 + 25x
y = 90 – 5x
5. y = x + 7
y=x+8
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6.10 Solving Systems by Elimination #2
6.10 Solving Systems by Elimination #2 In Class
1. 3x – y = 2
-8x + 2y = 4
Solution (
3. 3x + 2y = 10
12x – 8y = 52
,
)
2. 2x – 2y = -2
-6x - 6y = -24
Solution (
Solution (
,
)
,
)
4. 4x - y = -5
-2x + 3y = 10
,
)
Solution (
6.10 Solving Systems by Elimination #2
Describe the mistake the person made when solving (if any).
1. 3x – 4y = 10
x – 5y = -12
2. -5x + 3y = -2
2x – 6y = -12
3x – 4y = 10
3(x – 5y = -12)
2(-5x + 3y = -2)
2x – 6y = -12
3x – 4y = 10
3x – 15y = -36
_____________
-19y = -26
y = 1.37
-10x + 6y = -2
2x – 6y = -12
_____________
-8x = -14
x = 1.75
3. y = -2x + 7
2x – 3y = -12
2x – 3(-2x + 7) = -12
2x + 6x + 21 = -12
8x + 21 = -12
- 21
-21
8x = -33
x = -4.125
4. Last month Benny spent $57 on 4 allergy shots and 1 office visit. This month he spent $9 after 1 office
visit and a refund for 2 allergy shots from the insurance company. How much does an office visit cost?
5. A costumer bought 5 pounds of mango and papaya for $49.75. Papaya cost $7.25 per pound and
mango cost $8.00 per pound. How many pounds of each fruit did the costumer get?