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Sticky Note
If (2a − 7b, 5b) = (−10a, 3 + b), find a and b.
  1. a = 1/2, b = 1/3
  2. a = 7/16, b = 3/4
  3. a = 3/4, b = 7/16
  4. a = 2, b = 1
Explanation

We are given:

Step 1: Equate corresponding components

Since ordered pairs are equal:

  1. First components:

  1. Second components:

5b=3+b


Step 2: Solve second equation

b=3/4​


Step 3: Substitute into the first equation

Bring like terms together:


2a + 10a = frac{21}{4}
12a = frac{21}{4}48=7/16​


Final Answer:

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