Rewrite the following equation in standard form.y=9x+3Hint: 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+3Hint: 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.y=9x+3We need to rearrange this equation into the standard form, which is Ax+By=C.
Rearrange Equation: Move the term involving x to the other side of the equation by subtracting 9x from both sides.y−9x=9x+3−9xThis simplifies to:−9x+y=3
Make Coefficient Positive: The standard form of a linear equation should have the x-term first and both x and y coefficients should be integers. The equation −9x+y=3 is almost in standard form, but the coefficient of x is negative. To make it positive, we can multiply the entire equation by −1.−1(−9x+y)=−1(3)This simplifies to:9x−y=−3
Final Standard Form: To maintain the standard form convention, we should write the y-term as positive. So, we multiply the entire equation by −1 again to get the final standard form.−1(9x−y)=−1(−3)This simplifies to:−9x+y=3
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