Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to: 300x + y = 10000 If y = 87.5, what is the value for x? 300x + y = 10,000 300x + (87.5) = 10,000 300x + 6,250 = 10,000 x =
Answer: 33.041666
Step-by-step explanation:
Given: The translated equation : \(300x+y = 10000\)
To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get
\(300x+87.5 = 10000\)
Subtract 87.5 from both the sides , we get
\(300x=9912.5\)
Now, divide 300 on both the sides, we get
\(x=\frac{9912.5}{300}\\\\\Rightarrow x=33.041666666\)