Answer:
480 Hectares potatoes, 340 Hectares corn
Step-by-step explanation:
Let x be the land used to plant potatoes in hectares.
Let y be the land used to plant corn in hectares.
Given the information from the question, we know that:
x + y = 820 - Equation 1
and
x - y = 140 - Equation 2
as you can see here we have 2 equations, means we can solve them simulteanously to solve for both. We will use elimination method.
We will use Equation 1 - Equation 2.
x-x+y-(-y)=820-140
2y = 680
y = 680 ÷ 2 = 340 hectares
We substiture y into equation 1 to find x
x + 340 = 820
x = 820 - 340
= 480 hectares
Therefore, 480 hectares of potatoes and 340 hectares of corn were planted.
