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Title: Simultaneous Equations
Description: just Basic tips for Simultaneous Equations. talks about algebra .
Description: just Basic tips for Simultaneous Equations. talks about algebra .
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Simultaneous Equations
Simultaneous equations and linear equations,
after studying this section, you will be able to:
solve simultaneous linear equations by substitution
solve simultaneous linear equations by elimination
solve simultaneous linear equations using straight line graphs
If an equation has two unknowns, such as 2y + x = 20, it cannot have unique solutions
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NOTE:
It is a good idea to label each equation
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This value of x can be substituted into equation [1] or [2], or into the expression for y: y = 2x −
1
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The 2nD Method is called solution by elimination
NOTE:The method is not quite as hard as it first seems, but it helps if you know why it works
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Adding two equations produces another valid equation:
e
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2x = x + 10 (x = 10) and x − 3 = 7 (x also = 10)
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The object is to manipulate the two equations so that, when combined, either the x term or
the y term is eliminated (hence the name) − the resulting equation with just one unknown can
then be solved
Title: Simultaneous Equations
Description: just Basic tips for Simultaneous Equations. talks about algebra .
Description: just Basic tips for Simultaneous Equations. talks about algebra .