- x-y z- 2 x-y w - -1 4- 0 5 - find the value of x-y

nbsp;[ x y amp;z; nbsp; nbsp;2x y amp; w ]=[ 1 amp;4; nbsp; 0 amp; 5 ] Comparing both sides, we get x y= 1 ...(i), z=4 nbs ...

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Standard XII

Mathematics

Sum of n Terms

[[ x-y z; ...

Question

If $[\begin{matrix} x - y & z 2 x - y & w \end{matrix}] = [\begin{matrix} - 1 & 4 0 & 5 \end{matrix}]$ , find the value of $x + y$ .

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Solution

$[\begin{matrix} x - y & z 2 x - y & w \end{matrix}] = [\begin{matrix} - 1 & 4 0 & 5 \end{matrix}]$

Comparing both sides, we get
$x - y = - 1 . . . (i), z = 4$

$2 x - y = 0 . . . (i i), w = 5$

Solving $(i) and (i i)$ we have $x = 1, y = 2$

$∴ x = 1, y = 2, z = 4, w = 5$

Hence, $x + y = 1 + 2 = 3$

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If [x−yz2x−yw]=[−1405], find the value of x+y.

[x−yz2x−yw]=[−1405] Comparing both sides, we get x−y=−1 ...(i), z=4 2x−y=0 ...(ii), w=5 Solving (i) and (ii) we have x=1, y=2 ∴ x=1, y=2, z=4, w=5 Hence, x+y=1+2=3

If $[\begin{matrix} x - y & z 2 x - y & w \end{matrix}] = [\begin{matrix} - 1 & 4 0 & 5 \end{matrix}]$ , find the value of $x + y$ .