X-y-8-z13-x2212-w2-6-equationsare-x-y-8-x2212-1-x-z-13-x2212-2-y-w-8-x2212-3-z-x2212-w-6-x2212-4-from-1-amp-3-x-y-y-w-x-w-2-isw-z-13-x2212-5-NowAdd-4-amp-5-22-19-z-192-w-z-x2212-6-192-x2212-6-w-72-x-72-y-8-x2212-x-8-x2212-72-y-92

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Standard VIII

Mathematics

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$x + y = 8$

$z 13 - w 2 = 6$

$e q u a t i o n s a r e : x + y = 8 - (1)$

$x + z = 13 - (2)$

$y + w = 8 - (3)$

$z - w = 6 - (4)$

$f r o m (1) & (3) x + y = y + w$

$x = w$

$(2) i s w + z = 13 - (5)$

$N o w A d d (4) & (5)$

$22 = 19$

$z = \frac{19}{2}$

$w = z - 6$

$\frac{19}{2} - 6$

$w = \frac{7}{2}$

$x = \frac{7}{2}$

$y = 8 - x$

$8 - \frac{7}{2}$

$y = \frac{9}{2}$

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x+y=8 z13−w2=6 equationsare:x+y=8−(1) x+z=13−(2) y+w=8−(3) z−w=6−(4) from(1)&(3)x+y=y+w x=w (2)isw+z=13−(5) NowAdd(4)&(5) 22=19 z=192 w=z−6 192−6 w=72 x=72 y=8−x 8−72 y=92