Math, asked by ansallustio, 6 months ago

if k=p+2q/3 find the value of p when k=8 and q=12

Answers

Answered by vanshikavikal448
106

 \huge  \boxed{\boxed{\red{ \bold{{answer}}}}}

we have,

 \bold{k = p +  \frac{2q}{3}  } \:  \:  \:  ...........(i)\\

and

  • K = 8
  • q = 12

put the value of k and q in (i)

 \bold{ \implies \: k = p +  \frac{2q}{3} } \:  \:  \:  \:  \:  \:  \:  \:  \\  \\   \bold{ \implies \: 8 = p +  \frac{2 \times  \cancel{12}}{ \cancel{3}} } \\  \\  \bold{ \implies \: 8 = p + 2 \times 4} \:  \:  \:  \:   \\  \\  \bold{ \implies \: 8 = p + 8} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

now, subtract 8 from both sides;

  \bold{\implies \: 8 - 8 = p + 8 - 8} \\  \\  \bold{ \implies \: 8 - 8 = p +  \cancel{8} -  \cancel{8}} \\  \\  \bold{ \implies \: p = 8 - 8} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \bold{ \implies  \boxed{ \bold\pink{ \: p = 0}}} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

so, value of p is 0

Answered by alex971
1

Answer:

p=0

Step-by-step explanation:

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