Posted by Bella on Thursday, February 26, 2009 at 2:48pm.
Classify this system of equations:
5x + y = 19
x + 5y = 23
a) consistent, independent
b) inconsistent
c) inconsistent, dependent
d) dependent
Would elimination or substitution be the way to solve this? I tried both ways and I either got a negative or a strange decimal. Thanks!

algebra  bobpursley, Thursday, February 26, 2009 at 3:03pm
Just inspecting it, the lines are perpendicular, so they are definitiely consistent. Now if you don't know how to recognize that, you can solve it by elimination. multipy the first equation by 5
25x+5y=95 then subtract the second equation
24x=9523 solve for x, then go back and use either of the equations to find y. It looks in decimal not simple, I would leave it in fractions (x=74/24=37/12 I think, check it)
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