Question

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

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

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 $$b=2$$.Maths

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