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inessss [21]
3 years ago
7

(m-3)/(7)=(m)/(m+8) Solve the proportion.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer: m=6, m=-4

Step-by-step explanation:

To solve this proportion, we have to cross multiply.

\frac{m-3}{7} =\frac{m}{m+8}

(m-3)(m+8)=7m

Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.

m^2+8m-3m-24=7m

Combine like terms.

m^2+5m-24=7m

We can move all terms to one side and then solve for m.

m^2-2m-24=0

We can actually factor this to:

(m-6)(m+4)=0

We set each factor equal to 0 to find m.

m-6=0

m=6

m+4=0

m=-4

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