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Y=4/7x-12 write this in standard form

2 Answers

1 vote

Answer:

4x - 7y = 84

Explanation:

User Rui Fonseca
by
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4 votes

Answer:


\sf 4x - 7y = 84

Explanation:

Standard form is a way of writing linear equations in which the x and y terms are on the same side of the equation, and the constant term is on the other side of the equation.

The standard form equation is Ax + By = C, where A, B, and C are real numbers, and A and B are not both zero.


\sf y = (4)/(7)x - 12

In order to convert the equation to standard form, we need to manipulate the equation so that the x and y terms are on the same side of the equation, and the constant term is on the other side of the equation.

In this case:


\sf y = (4)/(7)x - 12

we can subtract 4/7x from both sides of the equation to get:


\sf y- (4)/(7)x = (4)/(7)x - 12 (4)/(7)x


\sf y - (4)/(7)x = - 12

We can then multiply both sides of the equation by 7 to get the equation in standard form:


\sf y \cdot 7- (4)/(7)x \cdot 7 = - 12 \cdot 7


\sf 7y - 4x = -84

We can then multiply both sides of the equation by -1 to get the equation in standard form:


\sf -7y + 4x = 84


\sf 4x - 7y = 84

Therefore, the equation in standard form is:


\sf 4x - 7y = 84

User Dan Mackinlay
by
8.7k points

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