Answer:
a) (-1/2,3/2)
Step-by-step explanation:
-3x = x + 2
4x + 2 = 0
4x = -2
x = -1/2
y = -3(-1/2) = 3/2
Answer:
You are right--the answer can not be determined because an important piece of information it missing
Step-by-step explanation:
Answer:
wergi;bwfvhisbohouwdfkwv
Step-by-step explanation:
Answer:
It can travel 288 miles on 12 gallons.
Step-by-step explanation:
The car can travel 96 miles on 4 gallons. 12 gallons is 3 times more than 4 gallons. This means that the miles the car can travel on 12 gallons is also 3 times more than it can travel on 4 gallons. 3 * 96 = 288.
Answer: 20 oz of juice concentrate and 60 oz of water.
Explanation:
Translate the word statements into algebraic expressions to set a system of equations that you can solve.
1) Name the variables:
- j: parts of juice concentrate
- w: parts of water
2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:
j / w = 2 / 6
3) Statement two, 80 oz of the drink, tanslates into an equality:
j + w = 80
4) Solve the system to find how many oz of juice concentrate and water Elena needs:
a) System:
j / w = 2 / 6
j + w = 80
b) Solve for w in the first equation: w = 6j / 2 = 3j
c) Substitute w in the second equation: j + 3j = 80
d) Combine like terms: 4j = 80
e) Use division property of equality: j = 20
f) Substitue in w = 3j: 3 = 3(20) = 60.
5) Solution: j = 20, w = 60.
6) Verify:
- j / w = 20 / 60 = 2 / 6 ⇒ right
- j + w = 20 + 60 = 80 ⇒ right
