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VMariaS [17]
2 years ago
8

Solve the system of equations y=5x-1 y=9x-9

Mathematics
1 answer:
Leto [7]2 years ago
7 0

Answer:

Look at the equations:

y

=

−

9

x

−

21

and

y

=

5

x

+

7

Because both equations equal (y), they both equal the same.

If an equations says "

y

=

−

9

x

−

21

" , that means we can replace (y) with

−

9

x

−

21

.

Therefore when i take the equation:

y

=

5

x

+

7

, we can replace (y) to get:

−

9

x

−

21

=

5

x

+

7

Now isolate (x):

−

9

x

−

21

=

5

x

+

7

⇔

−

21

=

14

x

+

7

⇔

−

28

=

14

x

⇔

x

=

−

2

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6 0
3 years ago
(y - 2)2 = y2 – 6y + 4<br> Is this statement true or false?
trasher [3.6K]
<h3>Answer: False</h3>

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

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

--------------------------

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

6 0
2 years ago
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sertanlavr [38]

Answer:

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6 0
3 years ago
A rectangular lot is 145 yards long and 100 yards wide.
mr_godi [17]

Answer:

150 by 100

Step-by-step explanation:

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2 years ago
Solve for n.<br> 7+2n = 11
Musya8 [376]

Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

5 0
1 year ago
Read 2 more answers
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