You can put this solution on YOUR website! For what value of b will 4x-8y=5 and 9y+bx=4 inconsistent?
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4x-8y = 5
bx+9y = 4
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Inconsistent --> parallel graphs --> equal slopes.
4x-8y = 5 --> m1 = 1/2
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bx+9y = 4
m2 = -b/9 = 1/2
b = -9/2