SOLUTION: X=bean y=rice 1y+8x=1000 1.26x+5y=8 how much of each of y and x do I need

Algebra ->  Linear-equations -> SOLUTION: X=bean y=rice 1y+8x=1000 1.26x+5y=8 how much of each of y and x do I need       Log On


   

Question 584922: X=bean
y=rice
1y+8x=1000
1.26x+5y=8
how much of each of y and x do I need
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1y + 8x = 1000
1.26x + 5y = 8
:
Arrange the 1st equation for substitution
y + 8x = 1000
subtract 8x from both sides
y = (1000-8x)
In the 2nd equation, replace y with (1000-x)
1.26x + 5(1000-x) = 8
1.26x + 5000 - 5x = 8
1.26x - 5x = 8 - 5000
-3.74x = -4992
3.74x = 4992; mult both sides by -1
x = 4992%2F3.74
x ~ 1334.76
Find y using the 1st equation
y = 1000 -1334.76
y = -334.76
;
Check solutions in the 2nd equation
1.26(1334.76) + 5(-334.76) =
1681.8 - 1673.8 = 8; confirms our solutions of x - 1334.76, y = -334.76
:
I'll let you figure out how to get a negative 334.76 quantity of rice, but we know we need 1334.76 quantity of beans