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IRISSAK [1]
3 years ago
7

A.230 B.270 C.300 D.330

Mathematics
1 answer:
liberstina [14]3 years ago
8 0
Best way to address this problem is to derive a linear equation representing this situation.  We see that if x increases from 1 to 2, the weight of papers collected increases from 30 to 60 (lb).  Thus, the slope of this line is 

        60-30
--------------- = 30 lb/ week
        2-1

Then weight - 60 = (30 lb/week)(x - 1), or weight = 60 + (30 lb/wk)(x-1).

After 10 weeks, Ben would have collected 60 + 30(10-1) = 60 + 270 lb, or 330 lb (answer)
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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

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- 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

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- If not solve for next variable

EX: by = c - ax ⇒ y = c/b - (a/b)y

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* 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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