Substitution
y = 3x + 1
y = 6x + 10
x = -3 , y = -8
4x + 9y = 29
6x - 9y = 21
x = 5, y = 1
- 14x - 6y = 14
7x + 5y = 7
x = -4, y= 7
2x + 3y = 5
3x + 8y = -3
x = 7, y = -3
1 ruler and 2 pens cost $1.55
3 pens cost £1.20
How much does a ruler cost?
75 cents
y = -2x + 13
y = 4x - 11
x = 4, y = 5
-2x + 4y = 8
x + 4y = 26
x = 6, y = 5
9x - 7y = 23
18x + 9y = 0
x = 1, y = -2
-3x + 2y = 14
-2x - 3y = 5
x = -4, y = 1
3 songs and 5 films cost a total of $28
3 songs and 2 films cost a total of $13
How much does each cost separately?
Songs = $1
Films = $5
4x + 2y = -20
y = x - 4
x = -2, y = -6
-8x - 5y = 18
8x + 7y = -22
x = -1, y = -2
x - 2y = -7
3x - 4y = -15
x = -1, y = 3
-3x + 5y = -15
-5x - 3y = 9
x = 0, y = -3
Two numbers have a sum of 1206 and a difference of 58. What are the numbers?
632 and 574
5x - y = 21
y = -7x + 15
x = 3, y = -6
-8x + 2y = 28
-8x - 7y = 10
x = -3, y = 2
-x + 3y = -15
7x + 6y = -3
x = 3, y = -4
-6x + 5y = 28
7x - 4y = -29
x = -3, y = 2
Paul collects baseball cards and football cards. The number of baseball cards is 10 more than twice the number of football cards. In total, Paul has 70 cards. How many of each type of card does Paul have?
20 football cards
50 baseball cards
y = -8x - 3
8x + 4y = 12
x = -1, y = 5
-2x - 4y = 8
-5x - 4y = -10
x = 6, y = -5
-8x + 12y = 16
-6x - 6y = -18
x = 1, y = 2
-9x + 6y = 18
-10x + 7y = 19
x = -4, y = -3
Mayfield High School sold tickets for a school musical. Seats in the auditorium cost $6 each and balcony seats cost $4. A total of 200 tickets was sold and $960 was collected. How many of each type of ticket were sold?
120 Balcony Seats
80 Auditorium Seats