If (2a − 7b, 5b) = (−10a, 3 + b), find a and b.
- a = 1/2, b = 1/3
- a = 7/16, b = 3/4
- a = 3/4, b = 7/16
- a = 2, b = 1
Explanation
We are given:
Step 1: Equate corresponding components
Since ordered pairs are equal:
- First components:
- Second components:
5b=3+b
Step 2: Solve second equation
b=3/4
Step 3: Substitute into the first equation
Bring like terms together:
48=7/16
Final Answer:
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