Rewrite the following equation in standard form.y=5x+1Hint: 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=5x+1Hint: 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.
Subtracting to isolate x-term: The equation given is y=5x−1. To rewrite it in standard form, we need to get the terms involving variables on one side and the constant on the other side. We can do this by subtracting 5x from both sides of the equation.Calculation: y−5x=−1
Rearranging terms: Now we have y−5x=−1, but the standard form requires the x-term to come before the y-term. So, we rearrange the terms to get the x-term first.Calculation: −5x+y=−1
Making x-term positive: The standard form of a linear equation is Ax+By=C, where A is a positive integer. Since −5 is negative, we multiply the entire equation by −1 to make the coefficient of x positive.Calculation: (−1)(−5x)+(−1)(y)=(−1)(−1)
Final standard form: After multiplying by −1, we get the equation in standard form.Calculation: 5x−y=1
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