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Allisa [31]
3 years ago
13

Solve the equation 2/3-4x+7/2=-9x+5/6

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer:

<u>For this equation the value of x is - 2/3</u>

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

<u>x = -4/6 = - 2/3 (Simplifying)</u>

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

<u>It means the value of -2/3 for x is correct</u>

Note: Same answer than 13866851

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Answer:

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Step-by-step explanation:

plz mark me as brainliest

5 0
3 years ago
Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew 6 tons of br
ankoles [38]

Answer:

There is no unique solution to this problem.

There are infinitely many solutions to this problem.

Step-by-step explanation:

Let B denotes broccoli crop

Let S denotes spinach crop

Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.

Mathematically,

6B + 9S = 93        eq. 1

This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.

Mathematically,

2B + 3S = 31

2B = 31 -  3S

B = (31 -  3S)/2      eq. 2

Substitute eq. 2 into eq. 1

6B + 9S = 93

6[(31 -  3S)/2] + 9S = 93

3(31 -  3S) + 9S = 93

93 - 9S + 9S = 93

- 9S + 9S = 93 - 93

0 = 0

Therefore, there is no unique solution to this problem.

Which means that there are infinitely many solutions to this problem.

5 0
3 years ago
Please answer number 15 I’ll give brainliest thanks!
kumpel [21]

Answer:

C

Step-by-step explanation:

i belive it is C because if you look at it your just multiplying by 4 hope this helps!!! :D

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2 years ago
Choose the graph which represents the solution to the inequality. 12x + 4 ≤ -8
user100 [1]

Answer:

<h2>x\leq -1</h2>

Step-by-step explanation:

Steps:

12x+4-4\leq -8

Subtract 4 from both sides:

12x+4-4\leq -8-4

Simplify:

12x\leq \frac{-12}{12}

Divide both sides by 12:

\frac{12x}{12} \leq \frac{-12}{12}

Simplify:

x\leq -1

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3 years ago
Calculate the value of x. Make sure to include units. *
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Hey! jeny.

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2 years ago
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