Rewrite the following equation in standard form. y = 10x + 1 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 = 10x + 1  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 = 10x + 1 We need to rearrange this equation into the standard form, which is Ax + By = C.Rearrange Equation: Move the term involving x to the other side of the equation by subtracting 10x from both sides. y - 10x = 10x + 1 - 10x This simplifies to: -10x + y = 1Move x Term: The standard form of a linear equation should have the x-term first, and the coefficient of x should be positive. Multiply the entire equation by -1 to achieve this. -1(-10x + y) = -1(1) This simplifies to: 10x - y = -1Multiply by -1: To make sure the equation is in standard form, we need to check if the coefficients are integers whose greatest common factor (GCF) is 1. The coefficients are 10, -1, and -1. Their GCF is indeed 1.

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