-6 + y = 2x + 4
y = 2x + 10
2x(5x + 4)
10x^2+8x
−5(x+2)=35
x=−9
x/5=10
x = 50
2x + y = 4x + 6
y = 2x + 6
-4(x + y - 8)
-4x - 4y + 32
2x + 4 = - 8 + 2x
No solution
(x+5)/10=20/4
x = 45
4x + 2y = 10x + 8
y = 3x + 4
(x+1)(x+2)
x^2+3x+2
x(x-3)=(x+1)(x+2)
x = -1/3
A 25-ounce bag of sour patch kids contains 200 pieces. How many pieces should a 50-ounce bag contain?
x = 400 pieces
8x - 8y = 32
y = x - 4
(2x+6)(x-3)
2x^2−18
Graph the two lines to find the point of intersection.
y = 2x + 1 and y = −x + 4
A school is planning a field trip and has a budget for snacks. For every 5 students attending, they plan to buy 3 boxes of granola bars. If the school has decided to take 120 students on the trip, how many boxes of granola bars should they purchase to maintain the same ratio?
x = 72 boxes
4(x-5) + 5y = 0
y = -4/5x + 4
(x-8)(3x-9)
3x^2−33x+72
Use the equal values method to find the point of intersection.
y=x+1 and y=2x−1
(2, 3)
Jeremy enlarged the shape below to create a similar shape. The side that was originally 34 units long became 51 units long. How long is the side that was originally 10 units long?
15 units