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yulyashka [42]
3 years ago
9

Substitution Method x+y=3 2x+y=7

Mathematics
2 answers:
Lana71 [14]3 years ago
6 0

Answer:

6=7

Step-by-step explanation:

AVprozaik [17]3 years ago
3 0

Answer:

(4, - 1 )

Step-by-step explanation:

Given the 2 equations

x + y = 3 → (1)

2x + y = 7 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 7 - 2x → (3)

Substitute y = 7 - 2x into (1)

x +7 - 2x = 3

7 - x = 3 ( subtract 7 from both sides )

- x = - 4 ( multiply both sides by - 1 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 7 - 8 = - 1

Solution is (4, - 1 )

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How to solve the problems
andre [41]

Answer:

2(x+5)+2(x-3) is the perimeter

x+5*x-3= the area

Step-by-step explanation:

I think that is what you are lookin' for

7 0
3 years ago
204.6 is what percent of 125? Round to the nearest tenth.
Zina [86]

Answer:

255.8

Explanation:

To get the solution, you are looking for, you need to point out what we know.

1. We assume, that the number 125 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 125 is 100%, so we can write it down as 125=100%.

4. We know, that x is 204.6% of the output value, so we can write it down as x=204.6%.

5. Now we have two simple equations:

1) 125=100%

2) x=204.6%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

125/x=100%/204.6%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 204.6% of 125

125/x=100/204.6

(125/x)*x=(100/204.6)*x       - we multiply both sides of the equation by x

125=0.48875855327468*x       - we divide both sides of the equation by (0.48875855327468) to get x

125/0.48875855327468=x

255.75=x

x=255.75

now you  have:

204.6% of 125=255.75

If you round 255.75  to the nearest tenth, it would be 255.8 because rounding to the nearest tenth the number will be  7 because 7 is in the tenth place in 255.<u>7</u>5, so you would round up because  anything about the number 5 you will round up and anything below 5 you round down and  when you round up you will get 255.8 which is your answer.

Hope this helps :)

5 0
3 years ago
A circular plate has circumference 32 inches. What is the area of this​ plate? Use 3.14 for pi. The area of this plate is about
Novosadov [1.4K]

Answer:

A = 82.53 in²

Step-by-step explanation:

We use the circumference equation C = 2πr and the area equation A = πr².

Using the first equation and the given circumference (32 in), we find the radius of the circle, and then use this result to find the area of the circle.

         

                                         C                            32 in

C = 2πr becomes r = ----------- and here r = ---------- = 5.10 in

                                        2π                            6.28

Then the area of the circle is A = πr², which here is A = 3.14(5.10 in)², which, when rounded off to two decimal places, is A = 82.53 in²

6 0
3 years ago
Given x∥y and m∠3=124° .
makvit [3.9K]

Answer:

56

Step-by-step explanation:

I got this wrong but this is the answer

4 0
3 years ago
2. Bryan and Lori were each given the same pair of numbers. Bryan's description of the two numbers was: The larger number is 3 m
sleet_krkn [62]

Answer:

5 and 18

Step-by-step explanation:

The two numbers according to Bryan are x and 3x+3. According to Lori they are x and 5x-7. So we know that x+3x+3=x+5x-7. x and x cancel out. 3 and 7 add to 10. 5x-3x=2x. So 2x=10. X=5 and the other number is 18.

6 0
3 years ago
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