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07-05-2014
Mathematics

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solve the equation for the indicated variable ab+9=3b-5c for b

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07-05-2014

[tex]ab+9=3b-5c \ \ |-3b\\ \\ -3b+ab +9=3b-3b-5c \\ \\ -3b +ab+9=-5c \ \ | -9 \\ \\-3b+ab+9 -9=-5c-9 \\ \\-3b +ab =-5c-9 \ \ / \cdot (-1) \\ \\ 3b-ab =5c+9 \\ \\b(3-a)=5c+9 \ \ /:(3-a)\\ \\b=\frac{5c+9}{3-a} [/tex]

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