Rewrite the following equation in standard form.y=10x+2Hint: 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+2Hint: 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 rearrangement: 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=10x+2
Subtracting 10x: We want to 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+2−10x
Simplifying the equation: Simplifying the equation by canceling out the 10x on the right side gives us: y−10x=2
Switching sides: The standard form of a linear equation is Ax+By=C, where A is a positive integer. Since we have −10x, we will rewrite the equation by switching the sides to make the coefficient of x positive:10x−y=−2
Multiplying by −1: However, we want the equation in the form Ax+By=C, so we multiply the entire equation by −1 to get the terms in the correct order and to ensure that A is positive:−1(10x−y)=−1(−2)
Final standard form: Multiplying each term by −1 gives us the final standard form of the equation: −10x+y=2
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