In this worksheet, you'll practise solving systems of linear equations using the elimination method, one of the key techniques for solving simultaneous equations.
The elimination method involves combining two equations in a system in a way that eliminates one of the variables, usually by adding or subtracting the equations. This allows you to solve for the remaining variable and then substitute it back to find the other.
A Review of the Elimination Method in Algebra
Suppose you have the following system of equations:
You can eliminate the ( x ) variable by subtracting Equation 2 from Equation 1:
Now substitute ( y = 3 ) back into one of the original equations:
So, the solution is ( x = 3.5 ), ( y = 3 ).
Elimination Method Class 10 Extra Questions
Now it’s your turn! Use the elimination method to solve the systems on this worksheet. Make sure to check your answers by substituting your solutions back into the original equations.
Adding both equations:
Plugging the value of y in any of the equation above:
Adding both equations:
Plugging the value of x:
Subtracting equation 3 from equation 1:
Plugging the value of y in the first equation:
Adding both equations:
Plugging the value of y in the second equation:
Plugging the value of y in the third equation:
Adding both equations:
Plugging the value of y in the first equation:
Adding both equations:
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nice work
Thank you! 😊 We’re glad you found the worksheet helpful. Keep up the great work with your studies!