A system of linear equation that represents the situation "A farmer plants corn

jernplate8

jernplate8

Answered question

2021-09-24

A system of linear equation that represents the situation "A farmer plants corn and wheat on a 180 acre farm. The farmer wants to plant three times as many acres of corn as wheat", and to find how many acres of each crop should the farmer plant.

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-09-25Added 106 answers

Calculation:
Let the acres of corn plant be "x"
Let the acres of wheat plant be "y"
Since the farmer plants corn and wheat on a 180 acre farm,
The first equation is x+y=180
Since the farmer wants to plant three as many of corn as wheat
Therefore the required system of linear equation is: x+y=180
y=3x
Equation 2 is already solved for y
y=3x
Substitute 3x for y in equation 1 and solve for x NSk x+y180
x+3x=180
4x=180
(Simplify)
4x4=1804
(Divide each side by 4)
x=45
(Simplify)
Now, substitute 45 for x in equation 2 and solve for y.
y=3x
y=3(45)
y=135
(Simplify)
Therefore, the required solution is (45,135)
i.e. The farmer should plant 45 acres of corn and 135 acres of wheat.

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