Rewrite the following equation in standard form.y=2x+9Hint: 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=2x+9Hint: 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.
Rearrange terms to standard form: Now we need to rearrange the terms to match the standard form Ax+By=C.We write the x term first, followed by the y term.−2x+y=−9
Make coefficient of x positive: However, the standard form typically has a positive A coefficient. To ensure this, we can multiply the entire equation by −1 to make the coefficient of x positive.Multiplying both sides by −1 gives us:2x−y=9
Check coefficients for GCF: Finally, we check that the coefficients A, B, and C are integers whose greatest common factor (GCF) is 1. The coefficients are 2, −1, and 9. The GCF of these numbers is indeed 1.
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