##### Systems of Euations word problem.

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

The sum of three numbers is 98. The sum of the first and second is two more than the third number and the second is four times the first. Find the numbers?

Jun 11th, 2015

let the numbers be ;x ,y z

x+y+z=98-----------------i

x+y+2=z------------------ii

4x=y----------------------iii

or 4x-y=0

then solve

x+y+z=98

x+y-z=-2

Add equations i and ii to obtain iii

2x+2y=96------------------iv

using iii and iv

2x+2y=96

(4x-y=0)2=8x-2y=0

2x+2y=96

+

8x-2y=0

10x=96

x =9.6

y=2.4

z=86

Jun 11th, 2015

let the numbers be ;x ,y z

x+y+z=98-----------------i

x+y-2=z------------------ii

4x=y----------------------iii

or 4x-y=0

then solve

x+y+z=98

x+y-z=2

Add equations i and ii to obtain iii

2x+2y=100------------------iv

using iii and iv

2x+2y=100

(4x-y=0)2=8x-2y=0

2x+2y=100

+

8x-2y=0

10x=100

x =10

y=40

z=98-(40+10)

z=48

Jun 11th, 2015

...
Jun 11th, 2015
...
Jun 11th, 2015
Oct 19th, 2017
check_circle