Solving Linear Equations - 3 variables

Rarely Tested

Substitution Method: Substitute the value of one variable in other two to get 2 - variable system

Example: 
x + y + z = 6
2x - y + z = 3
x + 2y - z = 2

Put x=6-y-z from the first equation into the last two equations to get 2 variables, 2 equations system and solve it to get y and z. Then, compute x.



Question 1

Ajay has 131 coins consisting of one rupee, 50 paisa and 25 paisa coins. The total value of the coins is Rs. 65. If the 50 paisa and 25 paisa coins are interchanged, the value comes down by Rs. 3. Find the number of 1 rupee coins he has?

Question 2

Ajay has 131 coins consisting of one rupee, 50 paisa and 25 paisa coins. The total value of the coins is Rs. 65. If the 50 paisa and 25 paisa coins are interchanged, the value comes down by Rs. 3. Find the number of 1 rupee coins he has?

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