Rewrite the following equation in standard form. y = 7x 6 Hint: The standard form of a linear equation is Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1. _____

Question

Rewrite the following equation in standard form.  y = 7x  6  Hint: The standard form of a linear equation is  Ax + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.  _____

Bytelearn · Accepted Answer

Identify Equation and Standard Form: Identify the given equation and the standard form requirement. The given equation is y = 7x - 6, and we need to rewrite it in the standard form Ax + By = C, where A, B, and C are integers with a greatest common factor (GCF) of 1, and A should be non-negative.Move Term Involving x: Move the term involving x to the left side of the equation. To do this, we subtract 7x from both sides of the equation. y - 7x = -6 This is not the standard form yet because the terms are not in the correct order.Rearrange Terms to Match: Rearrange the terms to match the standard form Ax + By = C. We want the x term first, followed by the y term, equal to the constant. -7x + y = -6Ensure Non-Negative Coefficient: Ensure that the coefficient of x is non-negative. If we multiply the entire equation by -1, we will get the coefficient of x to be positive, which is a common convention for standard form. 7x - y = 6 Now the equation is in standard form with A = 7, B = -1, and C = 6.

Rewrite the following equation in standard form. $\newline$ $y = 7x + 6$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .

Full solution

More problems from Write linear equations in standard form

Related topics

Rewrite the following equation in standard form.\newliney=7x+6y = 7x + 6y=7x+6\newlineHint: The standard form of a linear equation is Ax+By=CAx + By = CAx+By=C where AAA and BBB are not both zero, and AAA, BBB, and CCC are integers whose GCF is 111.

Rewrite the following equation in standard form. $\newline$ $y = 7x + 6$ $\newline$ Hint: The standard form of a linear equation is $Ax + By = C$ where $A$ and $B$ are not both zero, and $A$ , $B$ , and $C$ are integers whose GCF is $1$ .