math
posted by Jillian
Solve the system
6x+4y = 12
9x+6y = 18
If the system has infinitely many solutions, express your answer in the form x=x and y as a function of x
x=? y=?

Reiny
did you notice that if you divide the first equation by 2, and the second equation by 3, you end with the same equation 3x + 2y = 6 ??
So really you are given only one equation, which of course has an infinite number of solutions.
now rearrange 3x + 2y = 6 to
2y = 3x + 6
y = (3/2)x + 3
you can rearrange for x in the same way.
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