Rewrite the following equation in standard form.y=8x−10Hint: 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=8x−10Hint: 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=8x−10We need to rearrange this equation into the standard form, which is Ax+By=C.
Move x-term: Move the term 8x to the other side of the equation by subtracting 8x from both sides.y−8x=−10However, the standard form requires the x-term to be positive and before the y-term. So we need to multiply the entire equation by −1 to make the x-term positive.
Multiply by −1: Multiply the entire equation by −1.−1(y−8x)=−1(−10)−1⋅y+(−1)(−8x)=10−1y+8x=10Now, we need to write the x-term first.
Write x-term first: Rearrange the terms to place the x-term first.8x−y=10This is the equation in standard form.
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