The one you have highlighted is correct
P = potato C = corn
3P + 4C = $40
5P + 2C = $34
Multiply -2 to the 2nd equation to get
-10P - 4C = -68
Add it to the 1st equation
3P + 4C = 40
-10P - 4C = -68
-----------------------
-7P = -28
Solve for P
P = $4
Substitute 4 into P(potato) to find what C(corn) is
Answer: a=60, b= 50, c= 180-148=32, d=64, e=d=64, g=180-125=55 and since f=g then f=55, h= 76, I=h=76, j= 180-76= 104
Sorry I cannot explain why they are true because I only learn them in my language so I can’t explain them clearly in English but there is the answer