Algebraic solution
The algebraic method of solving simultaneous equations is by substitution.
For example the solution of
is:
The corresponding solutions for
are obtained by substitution of the
-values into the first equation
As expected, these solutions are identical to those obtained by the graphical solution.
Solve algebraically:
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-
-
-
The first solution is
and
. The second solution is
and
.
Algebraic solution
Solve the following systems of equations algebraically. Leave your answer in
surd form, where appropriate.
1.
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2.
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3.
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4.
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5.
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6.
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7.
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8.
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10.
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11.
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12.
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13.
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14.
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15.
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16.
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17.
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18.
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19.
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20.
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21.
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