Find the value of a and b.

$\left(\frac{a}{2} \ +\ 3,\ b\ -\ 1\right) \ =\ (5,\ -3)$

Given: $\left(\frac{a}{2} \ +\ 3,\ b\ -\ 1\right) \ =\ (5,\ -3)$

To find: Here we have to find the value of a and b.

Solution:

Given that;

$\left(\frac{a}{2} \ +\ 3,\ b\ -\ 1\right) \ =\ (5,\ -3)$

Therefore,

$\frac{a}{2} \ +\ 3\ =\ 5$

$\frac{a}{2} \ =\ 5\ -\ 3$

$\frac{a}{2} \ =\ 2$

$a\ =\ 2\ \times \ 2$

$\mathbf{a\ =\ 4}$

Also,

$b\ -\ 1\ =\ -3$

$b\ =\ -3\ +\ 1$

$\mathbf{b\ =\ -2}$

So, value of a and b is 4 and $-$2 respectively.

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Updated on: 10-Oct-2022

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