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Trava [24]
3 years ago
12

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 <em>c</em>

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

Step 3: Check

<em>Plug in c to verify it's a solution.</em>

<em />\frac{5-1}{5+2} =\frac{4}{7}<em />

<em />\frac{4}{7} =\frac{4}{7}<em />

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