Rewrite the following equation in standard form.y=9x+4Hint: 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+4Hint: 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.
Start with given equation: To convert the equation to standard form, we need to rearrange it so that it fits the format Ax+By=C. We start with the given equation:y=9x+4We want to move the term involving x to the other side of the equation to have all the variable terms on one side and the constant on the other side.
Subtract to move x term: Subtract 9x from both sides of the equation to move the x term to the left side:y−9x=9x+4−9xThis simplifies to:−9x+y=4
Multiply by −1 for positive x: The standard form of a linear equation is Ax+By=C, where A is a positive integer. Since we have −9x, we will multiply the entire equation by −1 to make the coefficient of x positive:−1(−9x+y)=−1(4)This simplifies to:9x−y=−4
Final standard form: However, we want the y term to be positive, so we will multiply the entire equation by −1 again to get the final standard form:−1(9x−y)=−1(−4)This simplifies to:−9x+y=4
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