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oksano4ka [1.4K]
3 years ago
9

Fiona wrote the linear equation y = x – 5. When Henry wrote his equation, they discovered that his equation had all the same sol

utions as Fiona’s. Which equation could be Henry’s?
Mathematics
2 answers:
Oliga [24]3 years ago
7 0
His equation could be written in quadratic form, which is ax^2+bx=c                     


AVprozaik [17]3 years ago
6 0

Answer with Step-by-step explanation:

Fiona wrote the linear equation y = x – 5.

Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona’s.

Henry's equation could be any equation which is a constant multiple of Fiona's equation.

i.e. it could be

2y=2(x-5)

i.e. 2y=2x-10

Hence, Henry's equation could be:

2y=2x-10

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Answer:

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Step-by-step explanation:

For equation 2x-y=5, we can isolate y, so it's easier to solve later:

y = 2x - 5

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Now, notice that both equations are equal to y, so we can set them equal to each other:

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Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:

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Since B is the only one with the x values of 3 and 7, the answer must be B.

But to further check our answer, we can plug x back to any of the equations above to check for y:

(3-4)^2 = 1

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Therefore, we can confirm that the answer is B.

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