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Nady [450]
3 years ago
10

Solve the system of linear equations below. y = -2x + 19 y = x + 7

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0
Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

-3x + 19 = 7

Now subtract 19 on both sides

-3x + 19 - 19 = 7 - 19

-3x = -12

Then divide both sides by -3

-3x/-3 = -12/-3

x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

y = -2(4) + 19

y = -8 + 19

y = 11

Thus,

The answer is: x = 4 and y = 11

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
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Answer:

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Step-by-step explanation:

u have to add them all and divide by 12. then u add all of them but the outlier and divide by 11. then u subtract.

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3 years ago
Find the cost price when,<br>(a) Selling price = Rs 725 and 15% gain​
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Step-by-step explanation:

Selling Price (SP) = Rs. 725

profit rate (P%) = 15 %

Now

Cost Price (CP)

=  \frac{sp \:  \times 100}{100 + p\%}  \\  =  \frac{725 \times 100}{100 + 15}   \\  =  \frac{72500}{115}  \\  = rs \: 630.42

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3 years ago
Point F' corresponds to point D. point E'. point F. point E.
Zepler [3.9K]

Answer:

  F' corresponds to point F

Step-by-step explanation:

When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.

__

<em>Comment on point naming</em>

Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually <em>be</em> point D.

6 0
3 years ago
2<br> 2. Evaluate (a + y)+ 2y if a = 5 and y = -3.<br> F 58<br> G -2<br> H 70<br> J 10
NARA [144]
<h3>Answer:  G) -2</h3>

=======================================================

Explanation:

I'm assuming you meant to say (a+y)^2 + 2y

Replace each copy of 'a' with 5. Replace each copy of 'y' with -3. Use PEMDAS to simplify.

(a+y)^2 + 2y

(5 + (-3))^2 + 2(-3)

(5-3)^2 + 2(-3)

(2)^2 + 2(-3)

4 + 2(-3)

4 - 6

-2

So (a+y)^2 + 2y = -2 when a = 5 and y = -3.

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Joong Ki paid a total of ₱90 for 6 singkamas and 11 ponkans. If a singkamas and a ponkan cost ₱10, how much does each cost? ANSW
Serggg [28]

Step-by-step explanation:

singkamas: 60 pesos

ponkan: 110 pesos

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