Rewrite the following equation in standard form. y = 8x + 10 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 = 8x + 10  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

Given Equation: Start with the given equation. y = 8x + 10 We need to rearrange this equation into the standard form, which is Ax + By = C.Move x Term: Move the term with x to the left side of the equation. To do this, we subtract 8x from both sides of the equation. y - 8x = 8x + 10 - 8x This simplifies to: y - 8x = 10Rearrange Standard Form: Rearrange the terms to match the standard form Ax + By = C. We want the x term to come before the y term, so we write the equation as: -8x + y = 10Check Coefficients: Check if the coefficients are integers and their greatest common factor (GCF) is 1. The coefficients are -8, 1, and 10. The GCF of these numbers is 1.Ensure Positive Coefficient: Ensure that the coefficient of x is positive. In standard form, it is customary to have the coefficient of x be positive. If it's negative, we can multiply the entire equation by -1 to make it positive. -1(-8x + y) = -1(10) This simplifies to: 8x - y = -10

Rewrite the following equation in standard form. $\newline$ $y = 8x + 10$ $\newline$ 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=8x+10y = 8x + 10y=8x+10\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. $\newline$ $y = 8x + 10$ $\newline$ 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 $1$ .