Asked by JaneLee

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?
Answered by drwls
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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