Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form.
I believe that the general form would be 2x +4y+ 2 = 3y + 5
2x + 4y + 2 - 3y - 5 = 0
2x + y - 3 = 0
Answer: The required general form of the given equation is
\(2x+y=3.\)
Step-by-step explanation: We are given to rewrite the following equation in general form :
\(2x+4y+2=3y+5~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
We know that
the general form of a linear equation in two variables x and y is written as :
\(ax+by=c,~~\textup{[where a and b cannot be zero at the same time]}\)
So, from equation (i0, we have
\(2x+4y+2=3y+5\\\\\Rightarrow 2x+4y-3y=5-2\\\\\Rightarrow 2x+y=3.\)
Thus, the required general form of the given equation is
\(2x+y=3.\)