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Unit A7.3

The substitution method.

Whenever we need to tackle more advanced simultaneous equations, either in terms of the number of variables, or in the nature of the equations, it is necessary to be able to rearrange an equation and apply substitution for one variable into another equation.

e.g. Solve the simultaneous equations

Equation (1) can be rewritten as  y = 3x - 4.
Now, substituting this in equation (2) for y gives  2x + 3 (3x - 4) = 21