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Question

What is the value of a for the following equation: 3a+4b=13 and a+3b=1?

(Use cross multiplication method).

A
a=5
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B
a=6
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C
a=7
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D
a=8
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Solution

The correct option is C a=7
Given:
3a+4b=13---(1)
a+3b=1---(2)

Using formula for cross multiplication method:

a(b1c2b2c1)=b(c1a2a1c2)=1(a1b2a2b1)

So, from equations (1) and (2) we can write the value of coefficient a,b and c.

a4×13×13=b13×13×1=13×31×4

a439=b133=194

a35=b10=15

a35=15

5a=35

a=7

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