Rewrite the following equation in standard form.y=x+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=x+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.
Move x term left: To rewrite the equation in standard form, we need to get the terms involving variables on one side and the constant on the other side. We start with the given equation:y=x+9We want to subtract x from both sides to move the x term to the left side of the equation.y−x=x+9−x
Simplify equation: After performing the subtraction, we simplify the equation:y−x=9This is almost in standard form, but standard form requires the x term to be positive. We can rewrite the equation as:−x+y=9
Make x term positive: To make the x term positive, we multiply the entire equation by −1:−1(−x+y)=−1(9)This gives us:x−y=−9
Equation in standard form: Now, we have the equation in standard form:Ax+By=CHere, A=1, B=−1, and C=−9. The greatest common factor (GCF) of 1, −1, and −9 is 1, so the coefficients are already in the simplest form.
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