## Related questions with answers

Define variables and write a system of equations for the situation. Solve using substitution. 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?

Solution

VerifiedLet $x$ acres of sunflower and $y$ acres of flax

$x+y=240$

He want to plant 80 more acres of sunflowers than of flax.

$x=y+80$

Write an equation containing only one variable, and solve it.

$\begin{align*} x+y&=240 &&\text{{\color{#c34632}Start with one equation}}\\\\ y+80+y&=240 &&\text{{\color{#c34632} Substitute $y+80$ for $x$}}\\\\ 2y+80&=240 &&\text{{\color{#c34632} Combine like terms}}\\\\ 2y&=160 &&\text{{\color{#c34632}Subtract $80$ from both sides}}\\\\ y&=80 &&\text{{\color{#c34632} Divide both sides by 2}}\\\\ \end{align*}$

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