Comparison Method
y = 2x + 8
y = -3x + 3
(-1, 6)
8x + 8y = 24
x = -5y + 11
(1, 2)
5x + 6y = 50
-x + 6y = 26
(4, 5)
y = -2x + 7
x - y = -1
(2, 3)
-x + 4y = -3
-3x + 2y = 1
(-1, -1)
4x + 3y = 8
x - 2y = 13
(5, -4)
Solve using any method:
9y = -4x - 2
11x + 9y = 26
(4, -2)
5x - y = 4
-4x + 2y = 16
(4, 16)
4x + 5y = 10
3x - 3y = 21
(5, -2)
-2x - 5y = 9
3x + 11y = 4
(-17, 5)
Solve using the elimination method
8x - 1/2y = -38
1/4x - 2/4y = -7
(-4, 12)
You are trying to decide between two gym memberships. Gym A charges a $150 registration fee and $20 per month after that. Gym B charges a $90 registration fee and $35 per month. After how many months will both gyms cost the same amount?
4 months
Sophia and her brother combined read a total of 40 books over the summer. Sophia read four times as many books as her brother. How many books did each person read?
Sophia read 32 books
Sophia's brother read 8 books
The library is having a book sale to raise money. Hardcover books cost $4 each and paperback books cost $2 each. Lina spends $26 for 8 books. How many of each book did she buy?
5 hardcover books
3 paperback books
Solve using any method:
The sum of twice a number, x, and twice another number, y, is 118. The value of y is one less than twice the value of x. Find x and y.
(20, 39)