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azamat
1 year ago
5

(3x + 5y = 7 { 4x - y = 5

Mathematics
1 answer:
dalvyx [7]1 year ago
5 0

Answer:

Step-by-step explanation:

Solution by substitution method

3x+5y=7

and 4x-y=5

Suppose,

3x+5y=7→(1)

and 4x-y=5→(2)

Taking equation (2), we have

4x-y=5

⇒y=4x-5→(3)

Putting y=4x-5 in equation (1), we get

3x+5y=7

⇒3x+5(4x-5)=7

⇒3x+20x-25=7

⇒23x-25=7

⇒23x=7+25

⇒23x=32

⇒x=32/23

→(4)

Now, Putting x=32/23

in equation (3), we get

y=4x-5

⇒y=4(32/23)-5

⇒y=(128-115)/23

⇒y=13/23

∴y=13/23   and x=32/23

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Christina collects stamps. She has 47 stamps in all. She has 20 stamps from europe. The number of African stamps is 2 times the
astraxan [27]
She has 47 total
20 are from Europe
some are from Africa,
and some from Asia

how many from Africa? hmm let's say "a"
how many from Asia? hmm let's say "b"

we know that, she has twice as many "a" as she has "b" stamps,
so, whatever "b" is, a = 2 * b, or a = 2b

so.. let us add them together

\bf \begin{array}{llllllll}
20&+&a&+&b&=&47\\
\uparrow &&\uparrow &&\uparrow \\
europe&&africa&&asia\\
\downarrow &&\downarrow &&\downarrow \\
20&+&2b&+&b&=&47
\end{array}

solve for "b", to see how many from Asia she has

what's "a"? well, a = 2b , that's how many African ones she has :)
5 0
3 years ago
How many times can 95 go into 96
Tanzania [10]

Answer:24 times


Step-by-step explanation:Hi there!  

First of all, division is the opposite of multiplication.  So if I  

divide 72 by 3 I should get 24, since 3*24 = 72.  

(You might notice that our division looks sort of like the  

multiplication:

24

X 3

___

12

60

----

72

just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

2. Make a guess of what the answer will be

3. Check your guess, fix it if you need to

4. "Bring down"

5. Repeat  steps 2-4 until you're out of digits

So for 72 divided by three, the process would go like this:

1. Write the problem

 ----

3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute:  (This lets us ignore the place  

value, etc.)

 ----

3|7?

Now let's ask:  How many times does 3 go into 7?

You can make whatever guess you want.  But since we have a good idea of  

what the answer should be, let's guess 2.  

Now we write the 2 above the 7 like this:

 2

 ----

3|7?

Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

  2

 ----

3| 7?

 -6

 __

  1

We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how  

many times 3 goes into 12, and so on.

Anyway:

  2

 ----

3| 72

 -6 |     <---that's supposed to be an arrow reminding you that we're

 __\ /        bringing down the 2 to make 12

  12        

Ok. So, how many times does 3 go into 12?  Let's guess 4 (sorry, I'm  

cheating since I know the answer already!)

  24

 ----

3| 72

 -6    

  -

  12

Now let's multiply 3 X 4.  Wow! We get 12.  If we subtract 12-12

   24

 ----

3| 72

 -6

  -

  12

-  12

  ---

   0

Now, we can check to make sure that 3 X 24 really does equal 72, and  

we're done.


4 0
3 years ago
3 divided by 4 is 3/4 what is 1/4 of 3
Zigmanuir [339]

Answer:

0.75 or 3/4

Step-by-step explanation:

1/4 of 3 would still end up to be 3/4 or as a decimal it would be .75

7 0
3 years ago
Divide 33 photos into two groups so the ratio is 4 to 7
Artist 52 [7]
33 photos in a 4x to 7x ratio

4x + 7x = 33
11x = 33
x = 3

33 photos can be put in a 4(3) to 7(3) ratio

which is a 12 to 21 ratio

so 12 photos on one side, and 21 on the other side to get the ratio of 4 to 7

Note:
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5 0
2 years ago
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irina1246 [14]

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8 0
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