Concise Mathematics Class 9 ICSE Solutions for Chapter 5 - Simultaneous Linear Equations

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To solve a pair of simultaneous equations, you must do the following:

• To eliminate one of the variables, use the elimination procedure.

• Determine the value of a single variable.

• Substitute to find the values of the remaining variables.

• Give your final answer in a clear and concise manner.

• Substitute both values into either of the original equations to double-check your solution.

You can solve for both unknowns if you have two different equations with the same two unknowns in each. Addition/subtraction, substitution, and graphing are the three most frequent approaches for solving problems.

1. Method of addition and subtraction

2. The elimination method 

Follow these steps to use the addition/subtraction method:

• To make the number in front of one of the letters (unknowns) the same or exactly the opposite in each equation, multiply one or both equations by some integer(s).

• To delete one letter, multiply or divide the two formulae.

• Fill in the blanks with the remaining unknown.

• Insert the value of the unknown discovered in one of the original equations to solve for the other unknown.