If x - y -5- y - z -7 and z - x -12- what is the value of x - y - z -A- 2B- 12C- 5D- 24

The correct option is B 12 nbsp;x+y=5—(i) nbsp;nbsp; y+z=7 —(ii) nbsp; nbsp;z+x = 12—(iii) Adding the equations (i),(ii) and (iii) x+y=5 y+z=7 z+x = ...

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Byju's Answer

Standard VI

Mathematics

Addition and Subtraction of Algebraic Expressions

If x + y =5, ...

Question

If $x + y = 5, y + z = 7$ and $z + x = 12$ , what is the value of $x + y + z$ ?

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Solution

The correct option is A 12
$x + y = 5 - - - (i)$
$y + z = 7 - - - (i i)$
$z + x = 12 - - - (i i i)$

Adding the equations $(i), (i i)$ and $(i i i)$
$x + y = 5$
$y + z = 7$
$z + x = 12$
__________

$2 (x + y + z)$ =24

$\Rightarrow (x + y + z) = \frac{24}{2} = 12$

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Similar questions

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Q. Solve the following system of linear equations in three variables.

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(i) $x = \frac{- 7}{3}, y = \frac{12}{5}, z = \frac{4}{9}$

(ii) $x = 0, y = \frac{- 3}{5}, z = \frac{- 9}{4}$

(iii) $x = \frac{1}{2}, y = \frac{5}{- 4}, z = \frac{- 7}{5}$

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If x+y=5,y+z=7 and z+x=12, what is the value of x+y+z?

The correct option is A 12 x+y=5−−−(i) y+z=7−−−(ii) z+x=12−−−(iii) Adding the equations (i),(ii) and (iii) x+y=5 y+z=7 z+x=12 __________ 2(x+y+z)=24 ⇒(x+y+z)=242=12

If $x + y = 5, y + z = 7$ and $z + x = 12$ , what is the value of $x + y + z$ ?

The correct option is A 12
$x + y = 5 - - - (i)$
$y + z = 7 - - - (i i)$
$z + x = 12 - - - (i i i)$

Adding the equations $(i), (i i)$ and $(i i i)$
$x + y = 5$
$y + z = 7$
$z + x = 12$
__________

$2 (x + y + z)$ =24

$\Rightarrow (x + y + z) = \frac{24}{2} = 12$