Rewrite the following equation in standard form. y = 3x 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 = 3x  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

Given Equation: Start with the given equation. y = 3x - 6 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 other side of the equation by subtracting 3x from both sides. y - 3x = -6 This is not yet in standard form because the x term should be before the y term.Rearrange Terms: Rearrange the terms to place the x term first. -3x + y = -6Make Coefficient Positive: The standard form of a linear equation should have a positive coefficient for x. Multiply the entire equation by -1 to make the coefficient of x positive. -1(-3x + y) = -1(-6) 3x - y = 6Check Coefficients: Check that the coefficients are integers and their greatest common factor (GCF) is 1. The coefficients are 3, -1, and 6. The GCF of these numbers is 1.

Rewrite the following equation in standard form. $\newline$ $y = 3x + 6$ $\newline$ 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=3x+6y = 3x + 6y=3x+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. $\newline$ $y = 3x + 6$ $\newline$ 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 $1$ .