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BARSIC [14]
3 years ago
8

You use 6 6 gallons of water on 20 plants in your garden. At that rate, how much water will it take to water 30 plants?

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

So ask yourself how much would I use on 10 plants? Then take what your answer is and multiply that by 3. In this situation you would use 3 gallons of water on 10 plant. So that would mean that you would use 9 gallons of water on 30 plans. When I say this I'm assuming that you only need one of those sixes, and then the second six is a typo

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What is the best first step for solving the given system using substitution while avoiding fractions -9x+4y=10 -9x+3y=3
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Answer:

Solve for x in the first equation. ⇒ the first answer

Step-by-step explanation:

* Lets study how to solve the system of the equation using

 the substitution method

- The first equation is ax + by = c

- The second equation is dx + ey = f

* To chose the first step

- Solve for x or y depends on the integer answer

EX: ax = c - by ⇒ x = c/a - (b/a)y

      b/a = integer , c/a = integer ⇒ best choice

- If not solve for next variable

EX: by = c - ax ⇒ y = c/b - (a/b)y

      a/b = integer , c/b = integer ⇒ best choice

- If not repeat with the second equation to find the best choice

* Lets check our equations:

∵ -9x + 4y = 10 ⇒ (1)

∵ -9x + 3y = 3 ⇒ (2)

* If we start with the first equation and solve for x

∵ -9x = 10 - 4y ⇒ (2)

- It will be difficult if we divide by -9, but the second equation

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* Substitute (3) in (2)

∴ 10 - 4y + 3y = 3 ⇒ collect the like terms

∴ -y = -7 ⇒ y = 7

substitute the value of in (3)

∴ -9x = 10 - 4(7) ⇒ -9x = -18 ⇒ ÷ -9 in both sides

∴ x = 3

∴ The best choice to avoid fraction is:

  Solve for x in the first equation.

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