Rewrite the following equation in standard form.y=7x+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=7x+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.The given equation is y=7x+9.We need to rewrite this equation in 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 7x from both sides of the equation.y−7x=7x+9−7xThis simplifies to y−7x=9.
Rearrange to Standard Form: Rearrange the terms to match the standard form.The standard form is Ax+By=C, so we need to write the x term first.−7x+y=9
Make X Coefficient Positive: Ensure that the coefficient of x is positive.If we multiply the entire equation by −1, we will get the x coefficient to be positive.(−1)(−7x)+(−1)y=(−1)9This simplifies to 7x−y=−9.
Check Coefficients: Check if the coefficients are integers whose greatest common factor (GCF) is 1. The coefficients are 7, −1, and −9. The GCF of these numbers is 1.
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