# 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=?

1. 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 re-arrange 3x + 2y = 6 to
2y = -3x + 6
y = (-3/2)x + 3

you can re-arrange for x in the same way.

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