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Question

Given $$(2a - 3 , 3b + 1) = (7, 7)$$; find $$a$$ and $$b$$.


A
a=5 and b=2
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B
a=5 and b=2
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C
a=5 and b=2
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D
a=5 and b=2
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Solution

The correct option is A $$a=5$$ and $$b=2$$
Given that $$(2a-3,3b+1)=(7,7)$$
Since, the ordered pairs are equal, then 
$$2a-3=7$$
$$\Rightarrow 2a=7+3$$
$$\Rightarrow 2a=10$$
$$\Rightarrow a=5$$
and $$3b+1=7$$
$$\Rightarrow 3b=7-1=6$$
$$\Rightarrow b=2$$
Therefore, the values of $$a=5$$ and $$b=2$$.

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