Rewrite the following equation in standard form.y=10x+8Hint: 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=10x+8Hint: 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.
Identify Given Equation: Identify the given equation and the desired form.The given equation is y=10x+8, and we want to rewrite it in the standard form Ax+By=C.
Move Term Involving x: Move the term involving x to the other side of the equation.To do this, we subtract 10x from both sides of the equation.y−10x=10x+8−10xThis simplifies to y−10x=8.
Rearrange Terms to Match: Rearrange the terms to match the standard form.The standard form is Ax+By=C, so we need to write the x term first.−10x+y=8
Check Coefficients for GCF: Check if the coefficients are integers and their greatest common factor (GCF) is 1. The coefficients are −10, 1, and 8. The GCF of these numbers is 1.
Ensure Positive Coefficient: Ensure that the coefficient of x is positive.If the coefficient of x is negative, we can multiply the entire equation by −1 to make it positive.Multiplying by −1, we get:10x−y=−8
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