Question

For the following system, use the second equation to make a substitution for x in the first equation.
x + 5y - 10 = 0
x = 2y - 8
What is the resulting equation in simplest form?
-3y - 18 = 0
3y - 18 = 0
7y - 18 = 0

Answer 1

Substituting 2y-8 for x in the first equation we obtain\[(2y-8)+5y-10=0\]If we combine like term we get\[7y-18=0\]Which is the simplest form.