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

1 Answer
Mar 27, 2017

Answer:

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

Explanation:

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.!