Homework Help: Algebra II

Posted by JaneLee on Sunday, October 28, 2007 at 3:35pm.

What is the first step for solving this system by substitution? DO NOT SOLVE!!
3x-2y=8
x+7y=10

How many solutions does this system of equations have?
3y-6x=12
y-2x=4
My answer is 1 solution. Is this correct?

Algebra II - drwls, Sunday, October 28, 2007 at 4:54pm
No. Two equations in two unknows generally has one (x,y) solution. An exception occurs when the two equations are the same line, or parallel lines. Your example is one of the exceptions, since if you divide both sides of the first equation by 3, you get the second equation. There are an infinite number of x,y solutions

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