Question

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

Answer 1

4x - 7y = 84

Explanation:

Answer 2

`\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`