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gayaneshka [121]
3 years ago
12

The ardered.pairs.(0, 1), (3, 10) and (4, n) are solutions of the same linear equation. Find n.

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0

Answer:

n = 13.

Step-by-step explanation:

Slope of the line = (10-1)/3-0) = 3

So the equation of the line is:

y - 1 = 3(x - 0)

y = 3x + 1

When x = 4 y = n,  so:

n = 3(4) + 1 = 13.

n = 13.

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Hi student, let me help you out! :)

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We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

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Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

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Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

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