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Kingston Vega
Mathematics
7 June, 00:53
X+y-z=5 - x-4y-8z=6 3x+5y-4z=-20
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Nancy Simon
7 June, 01:10
0
x = 24.48, y = - 15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = - 2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by - 7 to give (h)
-21y - 84z = - 6 (g)
21y + 63z = - 77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9 (3.952) = 11
y = (11 + 9 (3.952) / - 3
= - 15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
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