If x+y+z=50 and x+5y+10z=100. Find x,y z

2
by ashokbabu

2015-06-06T19:25:59+05:30

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X+y+z=50
x=50-y-z
x+5y+10z=100
50-y-z+5y+10z=100
4y+9z=50
y=8
z=2
so,x=40
2015-06-06T20:23:22+05:30

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
(we will take x because in the next equation there no coefficient of x)

x+y+z=50
x= 50-y-z                       (transposing y and z )

x+5y+10z=100
(50-y-z) + 5y +10z = 100     (replacing x with (50-y-z) )
50 + (5y-y) + (10z-z) = 100
4y + 9z = 100-50
4y + 9z = 50

so
y=8
z=2
x=40

i know the answer but i want the complete process to get the value of each variables