Question

If p=7 when x=8 find the value of p when x=7

Answer 1

Answer: " p = 6
`(1)/(8)` " ; or, write as: " 6.125 " .

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{ when "x = 7" }.

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Explanation:

p/x ;

when p = 7 ; x = 8 ;

7:8

p:x:: p:7 ;

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7:8::p:7 ; write as a "fraction:

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7/8 = p/7 ;

To find "p" when "x = 7 " ;

Cross-factor multiply:

→ that is:

→
`(a)/(b) *(c)/(d)` ; ↔ ad = bc ;

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→
`(7)/(8) *(p)/(7)` ; ↔ (7 * 7) = (8 * p) ;

→ (7 * 7) = (8 * p) ;

→ 49 = 8p ;

Divide each side of the equation by "8" ;

to isolate "p" on one side of the equation;

& to solve for "p" ;

→ 49 / 8 = 8p / 8 ;

to get:

→ 49/8 = p ;

↔ p = 48/9 ;

→ 49/8 = 49 ÷ 8 = ? ;

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6

8 ⟌49

- 48

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1

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6 R 1 ; 6 1/8 ; or; 6.125.

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Answer: " p = 6
`(1)/(8)` " ; or, write as: " 6.125 " .

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{ when "x = 7" }.

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