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Strike441 [17]
3 years ago
6

Substitution and elimination

Mathematics
1 answer:
nlexa [21]3 years ago
3 0
Whats The Question ????
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Given x(y + 2) = 3x + y, express y in terms of x.​
vodka [1.7K]

Answer:

y = \frac{x}{x-1}

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = \frac{x}{x-1}

6 0
3 years ago
Lian invested an amount of money at an interest rate of 5.2% per year.
Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus,  amount of money Lian invested is $6500.

7 0
3 years ago
Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?
Gala2k [10]
It would take her 35 minutes to run 5 miles
3 0
3 years ago
Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest
Lapatulllka [165]

Answer:

it would be <u>800</u> because 2.8% of <u>800</u> is 22.40 and that is your answer.

hope i helped :)

6 0
3 years ago
Read 2 more answers
Which of the following inequalities has no solutions?
neonofarm [45]

Answer:

  • A) x > 3 and x < 2 has no solutions

Step-by-step explanation:

Given inequalities below and we are looking for a pair with no solution.

Let's verify:

A) x > 3 and x < 2,

  • It has no solutions since the two inequalities have no common interval.

B) x > - 3 and x < - 2,

  • Its solution is -3 < x < - 2, the interval between two given endpoints.

C) x > - 3 and x < 2,

  • Similar to option B, the interval is between two endpoints:
  • - 3 < x < 2

D) x > - 3 and x > - 2,

  • Its solution is x > - 2, the two inequalities cover almost same interval.
8 0
2 years ago
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