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Given the equations above, x + y + z = ?

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Bunuel
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Given the equations above, x + y + z = ? [#permalink] New post   22 Feb 2022, 09:00
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6x – 5y + 3z = 23

4x + 8y – 11z = 7

5x – 6y + 2z = 12

Given the equations above, x + y + z = ?

(A) 11
(B) 12
(C) 13
(D) 14
(E) 15
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A
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PikaB
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Re: Given the equations above, x + y + z = ? [#permalink] New post   22 Feb 2022, 09:17
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Equation 1 minus Equation 2 gives us x+y+z that gives us 11
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stne
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Given the equations above, x + y + z = ? [#permalink] New post   03 Mar 2022, 07:09
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Bunuel wrote:
6x – 5y + 3z = 23

4x + 8y – 11z = 7

5x – 6y + 2z = 12

Given the equations above, x + y + z = ?

(A) 11
(B) 12
(C) 13
(D) 14
(E) 15


\(6x – 5y + 3z = 23...\) (I)

\(4x + 8y – 11z = 7...\)(II)

\(5x – 6y + 2z = 12...\)(III)

Eqn (I) - Eqn(II)

\(2x -13y + 14z = 16\)...(IV)

Eqn(III) - Eqn (II)

\(x-14y+13z= 5\)...(V)

Eqn.(IV) - Eqn (V)

\(x+y+z= 11\)

Ans A
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stne
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Re: Given the equations above, x + y + z = ? [#permalink] New post   03 Mar 2022, 07:21
PikaB wrote:
Equation 1 minus Equation 2 gives us x+y+z that gives us 11


Sorry! it doesn't few more steps are required !
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Abtab
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Given the equations above, x + y + z = ? [#permalink] New post   02 Jun 2023, 22:17
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Equation 1 - Equation 3 straight up gives us the value of x+y+z.

6x-5y+3z=23
5x-6y+2z=12
(-) (+) (-) (-)
----------------
x+y+z = 11 (A)
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gmatclubot
Given the equations above, x + y + z = ? [#permalink]
02 Jun 2023, 22:17
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