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MAXImum [283]
4 years ago
9

Fiona wrote the linear equation y = y equals StartFraction 2 over 5 EndFraction x minus 5.x – 5. When Henry wrote his equation,

they discovered that his equation had all the same solutions as Fiona’s. Which equation could be Henry’s?
Mathematics
2 answers:
Novosadov [1.4K]4 years ago
5 0

Answer:

<h3>D.  </h3>

Edg 2020, Have a good day!

Anna007 [38]4 years ago
4 0

Question is Incomplete, Complete question is given below;

Fiona wrote the linear equation y = 2/5 X -5. When Henry wrote his equation they discovered that his equation had all the same Solutions as fionas. which equation could have been Henry's.

A. X- 5/4y =25/4

B. X-5/2y=25/4

C. X-5/4y =25/4

D. X- 5/2y=25/2

Answer:

D. x- \frac{5}{2} y=\frac{25}{2}

Step-by-step explanation:

Given:

Fiona's equation = y = \frac{2}{5}x-5

We have to figure out which of the choices equals the equation given,

y = \frac{2}{5}x-5

Now we could solve each of the answer choices for y, but since each choice is in the format x - (m)y = b, we can put the given equation in that format too.

y = \frac{2}{5}x-5\\\\5 = \frac{2}{5}x -y\\\\\frac{2}{5}x -y= 5

Now in given choices x doesn't have any terms with it.

Hence we will make x term as 1 by dividing 5/2 on both side we get;

(\frac{5}{2} )\frac{2}{5}x -\frac{5}{2} y=5\times \frac{5}{2} \\\\x-\frac{5}{2} y=\frac{25}{2}

Hence Henry equation will be y=\frac{25}{2}.

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