SOLUTION: A farmer grows only sunflowers and flax on his 240-acre farm. This year he wants to plant 80 more acres of sunflowers than of flax. How many acres of each crop does the farmer need

Algebra ->  Expressions-with-variables -> SOLUTION: A farmer grows only sunflowers and flax on his 240-acre farm. This year he wants to plant 80 more acres of sunflowers than of flax. How many acres of each crop does the farmer need      Log On


   

Question 828334: A farmer grows only sunflowers and flax on his 240-acre farm. This year he wants to plant 80 more acres of sunflowers than of flax. How many acres of each crop does the farmer need to plant?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = acres of flax
y = acres of sunflowers
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x + y = 240
y = x + 80
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put the system of linear equations into standard form:
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x + y = 240
x - y = -80
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = acres of flax = 80
y = acres of sunflowers = 160
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system matrix
1 1
1 -1
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inverse of system matrix
0.5 0.5
0.5 -0.5
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determinant of system matrix = -2
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Solve systems of linear equations up to 6-equations 6-variables:
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