SOLUTION: if (4a+3b-7c)+(a-5b+10c)+(-2a+b+c)=ma+nb+pc, then value of m+n+p is what?

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Question 1004588: if (4a+3b-7c)+(a-5b+10c)+(-2a+b+c)=ma+nb+pc, then value of m+n+p is what?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if %284a%2B3b-7c%29%2B%28a-5b%2B10c%29%2B%28-2a%2Bb%2Bc%29=ma%2Bnb%2Bpc, then value of m%2Bn%2Bp is what?

ma=%284a%2B3b-7c%29 =>ma=%284a%2B3b-7c%29+%2Fa

nb=%28a-5b%2B10c%29 =>n=%28a-5b%2B10c%29+%2Fb

pc=%28-2a%2Bb%2Bc%29 => p=%28-2a%2Bb%2Bc%29+%2Fc

m%2Bn%2Bp=%284a%2B3b-7c%29+%2Fa%2B%28a-5b%2B10c%29+%2Fb%2B%28-2a%2Bb%2Bc%29+%2Fc

m%2Bn%2Bp=%28bc%284a%2B3b-7c%29+%2Bac%28a-5b%2B10c%29+%2Bab%28-2a%2Bb%2Bc%29%29+%2Fabc





m%2Bn%2Bp=%283b%5E2c-7bc%5E2%2Ba%5E2c%2B10ac%5E2+-2a%5E2b%2Bab%5E2%29+%2Fabc

m%2Bn%2Bp=a%2Fb%2B3b%2Fa-2a%2Fc-7c%2Fa%2B10c%2Fb%2Bb%2Fc

m%2Bn%2Bp=%283b%2Fa-7c%2Fa%29%2B%28a%2Fb%2B10c%2Fb%29%2B%28b%2Fc-2a%2Fc%29

m%2Bn%2Bp=%283b-7c%29%2Fa%2B%28a%2B10c%29%2Fb%2B%28b-2a%29%2Fc