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How to solve simultaneous equations using substitution and elimination method?
Go through the following problems which use substitution and elimination method to solve the simultaneous equations. Solve the two pairs of simultaneous equations by the elimination method. 4a + 5b = 12 ……. (1) 3a – 5b = 9………. (2) Step 1: The coefficient of variable ’b’ is equal and has the opposite sign to the other equation.
What are simultaneous equations?
Simultaneous equations are two or more algebraic equations that share variables e.g. x and y. For example, below are some simultaneous equations: When we have at least as many equations as variables we may be able to solve them.
How to solve pairs of simultaneous equations with different variables?
To solve pairs of simultaneous equations you need to: 1 Use the elimination method to get rid of one of the variables. 2 Find the value of one variable. 3 Find the value of the remaining variables using substitution. 4 Clearly state the final answer. 5 Check your answer by substituting both values into either of the original equation.
What are the common mistakes in solving simultaneous equations?
So the solution to the simultaneous equations is a = 0.35 and b = 0.25. Incorrectly eliminating a variable. Using addition to eliminate one variable when you should subtract (and vice-versa). Errors with negative numbers. Making small mistakes when +, −, ✕, ÷ with negative numbers can lead to an incorrect answer.
Is there a power point available for solving simultaneous equations?
A Power Point I produced, which worked extremely well to help explain how to solve simultaneous equations. I have now converted this to Office 2010 and should be easily editable. I have also changed the file format so it is easier for people to edit.
It includes a set of few independent equations. The simultaneous equations are also known as the system of equations, in which it consists of finite set of equations for which the common solution are sought. To solve the equations, we need to find the values of the variables included in these equations.