Solve this proportion c-1/c+2=4/7

Mathematics

1 answer:

Stella [2.4K]3 years ago

4 0

Answer:

c = 5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

$\frac{c-1}{c+2} =\frac{4}{7}$

Step 2: Solve for c

Cross multiply: $7(c-1)=4(c+2)$
Distribute: $7c-7=4c+8$
Subtract 4c on both sides: $3c-7=8$
Add 7 to both sides: $3c=15$
Divide both sides by 3: $c=5$

Step 3: Check

Plug in c to verify it's a solution.

$\frac{5-1}{5+2} =\frac{4}{7}$

$\frac{4}{7} =\frac{4}{7}$

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