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Question

What is the value of b for the following equation: 5a−4b=2 and a+b=4?

(Use cross multiplication method)

A
b=1
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B
b=2
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C
b=3
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D
b=4
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Solution

The correct option is A b=2
Using formula for cross multiplication method:
a(b1c2b2c1)=b(c1a2a1c2)=1(a1b2a2b1)
So, from equation (1) and (2) we can write the value of a,b and c.
a4×41×2=b2×15×4=15×11×(4)
a162=b220=15+4
a18=b18=19
b18=19
9b=18
b=2

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