How do you solve the system $w + v = 79$ $w + x = 68$ , $x + y = 53$ , $y + z = 44$ , $z + v = 90$ ?

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Answer 1 · 2017-03-27T09:43:29

$x=44, y=9, z=35, v=55, and, w=24.$

Adding all the eqns., $2(x+y+z+v+w)=334.$

$:. x+y+z+v+w=167......(star).$

In this, $x+y=53, and, z+v=90.$

Subst.ing $(star), 53+90+w=167 rArr w=24...(1).$

$"In "(star)" subst., "y+z=44, v+w=79," &, get, "x=44...(2).$

$w+v=79, &, w=24 rArr v=55...(3).$

$x+y=53, &, x=44 rArr y=9.......(4).$

$y+z=44, &, y=9 rArr z=35......(5).$

Thus, $x=44, y=9, z=35, v=55, and, w=24.$

Enjoy Maths.!

How do you solve the system w + v = 79w + v = 79 w + x = 68w + x = 68, x + y = 53x + y = 53, y + z = 44y + z = 44, z + v = 90z + v = 90?