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3 years ago

The solution to the system is (3,4): 3x – 2y = 1 4y = 7+3x Pizz help mee

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

Answer:

(3,4) is the solution of both equations.

Step-by-step explanation:

The given equations are :

3x – 2y = 1 ....(1)

4y = 7+3x

4y-3x = 7 .....(2)

Put x = 3 and y = 4 in equation (1).

3(3) – 2(4) = 9-8

= 1

So, (3,4) is the solution of the equation (1).

Again put x = 3 and y = 4 in equation (2).

4(4)-3(3) = 16-9

= 7

Hence, (3,4) is the solution of both equations.

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Which of the following are equivalent to the statement “the price decreased by 1/3”?

Fittoniya [83]

Therefore, the only statement that is equivalent to "the price decreased by $\frac{1}{3}$ " is:

F. The price is now 66, 2/3% of what it was before

Given that the original price of something decreased by 1/3, it means:

the original price is reduced by one-third.

One-third is not equal to half of the price.

1/3 is less than 1/2.

1/3 of the original price would be $\frac{1}{3} \times 100 =$ 33.3% less of the original price.

This means that the new price would be: 100 - 33 = 66% of the original price. This shows a reduction in price. The price would drop.

1/3 is more than a quarter (1/4).

Any option showing or suggesting an increase is definitely the wrong answer.

Therefore, the only statement that is equivalent to "the price decreased by $\frac{1}{3}$ " are:

F. The price is now 66, 2/3% of what it was before

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2 years ago

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the first third and sixth terms of an arithmetic sequence are shown. what is the common difference between consecutive terms in

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2 years ago

By selling a radio for $8400 a dealer gained 12% .how much money did she gain

Mkey [24]

See, in these type of questions always first assume your original price to be x. And now try to write whatever information is given to you.

Now, you have that it has been sold for 12% profit, so basically it is sold at. (1 + (12/100))x = 1.12x

Now it is given that if it had been sold for 33₹ more. I.e. if it had been sold at. 1.12x + 33

Net gain would have been 14%.

So gain of 14%, means the cost to be (1+(14/100))x = 1.14x

And basically both 1.12x +33 and 1.14x are final costs, so

1.14x = 1.12x + 3

=> 1.14x - 1.12x = 3

=> 0.02x = 3

=> x = 3÷0.02

=> x= 1650₹

So original cost is 1650₹.

Hope you understand the solution and the way to tackle these type of problems if not then let me know.

hope it helps

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