This is referred to as eliminating the variable. Solve the equation thus obtained. Then substitute the value found for the variable in one of the given equations and solve it for the other variable. Write the solution as an ordered pair. Example 4 Solve the following simultaneous equations by using the elimination method: Solution: Label the equations as follows: Notice that 3y appears on the left-hand side of both equations.
Adding the left-hand side of 1 and 2and then the right-hand sides, gives: We have added equals to equals, and addition eliminates y. Example 5 Solve the following simultaneous equations by using the elimination method: Solution: Label the equations as follows: So, the solution is 5, 4 Example 6 Solve the following simultaneous equations by using the elimination method: Solution: Label the answers as follows: Multiplying 1 by 2 and 2 by 3 gives: Subtracting 3 from 4 gives: So, the solution is 2, 3.
Equations Containing Fractions If either or both equations contain fractions, then it is desirable to remove the denominators before solving them simultaneously.
The elimination method for solving linear systems
Aim: I can solve a system of equation using the elimination method._ the following system of equations by elimination and check that your answer is a solution. Follow the steps to solve the system of linear equations by using the elimination method: (i) Multiply the given equation by suitable constant so as to make the. Related questions. 1 answer. solve the system by the elimination method 3x=5y+ 2 3y=5x asked Dec 4, in Trigonometry Answers by.
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