Rewrite the following equation in standard form.y=9x+9Hint: 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.
Q. Rewrite the following equation in standard form.y=9x+9Hint: 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.
Given Equation: Start with the given equation.y=9x+9We need to rearrange this equation into the standard form, which is Ax+By=C.
Move x Term Left: Move the term with x to the left side of the equation.To do this, we subtract 9x from both sides of the equation.y−9x=9x+9−9xThis simplifies to:−9x+y=9
Rearrange to Standard Form: Rearrange the terms to match the standard form Ax+By=C. The standard form should have the x term first, followed by the y term, and then the constant. So we write: −9x+y=9 However, in standard form, the coefficient of x should be positive. To achieve this, we can multiply the entire equation by −1.
Make Coefficient Positive: Multiply the entire equation by −1 to make the coefficient of x positive.−1(−9x+y)=−1(9)This simplifies to:9x−y=−9
Check for GCF: Check if the coefficients have a greatest common factor (GCF) other than 1. The coefficients are 9, −1, and −9. The GCF of these numbers is 1.
More problems from Write linear equations in standard form