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

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) (Show Source): You can put this solution on YOUR website!
---
x = acres of flax
y = acres of sunflowers
---
x + y = 240
y = x + 80
---
put the system of linear equations into standard form:
---
x + y = 240
x - y = -80
---
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
---
solution:
x = acres of flax = 80
y = acres of sunflowers = 160
---
system matrix
1 1
1 -1
---
inverse of system matrix
0.5 0.5
0.5 -0.5
---
determinant of system matrix = -2
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

RELATED QUESTIONS
A farmer grows only sunflowers and flax on his 240 acre farm. This year he wants to plant (answered by richwmiller)

help me set up equation and solve. A farmer grows only sunflowers and flax on his... (answered by LinnW)

A farmer grows only pumpkins and corn on her 420 -acre farm. This year she wants to plant (answered by ikleyn)

a farmer grows only pumpkins and corn on her 420 acre farm. this year she wants to plant... (answered by ewatrrr,TimothyLamb)

A farmer grows only pumpkins and corn on her 420 ace farm.this year she wants to plant... (answered by josmiceli)

I think this is a system of equations question. A farmer plants soybeans, corn, and... (answered by greenestamps)

I think this is a system of equations question. A farmer plants soybeans, corn, and... (answered by ikleyn)

I think this is a system of equations question. A farmer plants soybeans, corn, and (answered by algebrahouse.com,ikleyn)