Sumitrar363idn
Answered

Join IDNLearn.com and become part of a knowledge-sharing community that thrives on curiosity. Our community provides timely and precise responses to help you understand and solve any issue you face.

find the values of p and q​

Find The Values Of P And Q class=

Sagot :

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

[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p

[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}

[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]

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

Putting,

x = 5 and y = q

[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]

[tex]\therefore\bf{p=1\:and\:q=7}[/tex]

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.