You have to isolate the variable using inverse operations in order to get it alone. Example: x+3=5
Subtract 3 on both sides since you are adding 3, and subtraction is the opposite of addition.
x=2 is your answer. If you check and plug it in, you will see that it is a correct equation.
Step-by-step explanation:
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of printed paper)
Let x = solid paper
Let y = printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find x:
8x + 15y = 51.50
8x = 51.50 - 15y
x = (51.50 - 15y)/8
Substitute x:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618 - 180y + 72y = 348
-108y = 348 - 618
-108y = -270
-108y/-108 = -270/-108
y = 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x = (51.50 - 37.50)/8
x = 14/8
x = 1.75
To check: x = 1.75 ; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Answer:
7,8,6!
Step-by-step explanation:
D=deana's age
b=bernice's age
sum is 48
b+d=48
8 years from now, dena will be 3 times bernice age
d+8=3(b+8)
ok we gots
d+b=48
d+8=3(b+8)
d+b=48
minus b from both sides
d=48-b
subsitute 48-b into the other equation for d
d+8=3(b+8)
48-b+8=3(b+8)
56-b=3b+24
add b to both sides
56=4b+24
minus 24 both sides
32=4b
divide both sides by 4
8=b
bernice is 8 years old
Answer:
A med - A small = (36 - 16)pi inch^2
= 20 pi inch^2
Step-by-step explanation:
Area of medium pizza = 6^2 pi
Area of small pizza = 4^2 pi
A med = 36 pi inch^2
A small = 16 pi inch^2
A med - A small = (36 - 16)pi inch^2
Edited :sorry i thought that 8 and 12 where radiuses