The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs 70. Find cost of each item per kg by matrix method.

Explanation

To solve the problem of finding the cost of each item (onion, wheat, and rice) per kg using the matrix method, we can follow these steps:

### Step 1: Set Up the Equations
Let the cost of onion be \( x \) per kg, the cost of wheat be \( y \) per kg, and the cost of rice be \( z \) per kg. We can set up the following equations based on the information given:

1. \( 4x + 3y + 2z = 60 \) (from the first condition)
2. \( 2x + 4y + 6z = 90 \) (from the second condition)
3. \( 6x + 2y + 3z = 70 \) (from the third condition)
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