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Naya [18.7K]
3 years ago
11

12.) Write y = 1/6 x + 7 in standard form using integers.

Mathematics
1 answer:
Trava [24]3 years ago
3 0

Option A

-x + 6y = 42 is the standard form

<u>Solution:</u>

Given that we have to write y = \frac{1}{6}x+7 in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

y = \frac{1}{6}x+7

Let us convert the above equation into standard form

y = \frac{x}{6} + 7

y = \frac{x}{6} + \frac{7}{1}

Make the denominator same in R.H.S

y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}

Solve the above equation

y = \frac{x}{6} + \frac{42}{6}

y = \frac{x+42}{6}

Move 6 from R.H.S to L.H.S

6y = x + 42

Bring all the terms to one side, leaving only constant on R.H.S

-x + 6y = 42

The above equation is of form Ax + By = C

Thus option A is correct

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