Question

Find the values of p and q​

Answer 1

Question -

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Solution -

Given -

• the ordered pairs (p, -1) and (5, q) belong to

{(x, y): y = 2x-3)}

To find -

• the values of p and q

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

$\:\:\:\:\:\implies\:\:$ {(p, -1): - 1 = 2p - 3}

$\:\:\:\:\:\implies\:\:$ -1 + 3 = 2p

$\:\:\:\:\:\implies\:\:$ {2 = 2p}

$\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}$

$\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}$

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

$\:\:\:\:\:\implies\:\:$ {(5, q): q = 2(5) - 3}

$\:\:\:\:\:\implies\:\:$ q = 10 - 3

$\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}$

$\therefore\bf{p=1\:and\:q=7}$