Rewrite the following equation in standard form.y=x+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=x+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.
Start Equation Rewrite Standard Form: Start with the given equation.y=x+2We need to rewrite this equation in the standard form Ax+By=C.
Move Term Left Side: Move the term with x to the left side of the equation.To do this, we subtract x from both sides of the equation.y−x=x+2−xThis simplifies to:y−x=2
Rearrange Terms Standard Form: Rearrange the terms to match the standard form Ax+By=C. The standard form requires the x term to be first, followed by the y term. −x+y=2
Ensure Positive Coefficient: Ensure that the coefficient of x is positive.In standard form, the coefficient of x is typically positive. If we multiply the entire equation by −1, we will achieve this.−1(−x+y)=−1(2)This simplifies to:x−y=−2
Check Coefficients GCF: Check if the coefficients are integers whose greatest common factor (GCF) is 1. The coefficients are 1, −1, and −2. The GCF of these numbers is indeed 1.
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