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Differentiating parametric equations
Simultaneous Equations – Elimination method
Solving exponential equations
Solving Equations with letters on both sides
Solving Eqns letters both sides QR
Solving Equations – Notes
Solving Equations
To solve an equation, it is important to remember that the same operation is done to both sides.
example 32:
Example 32 – Solving Equations
To find the value of x, we want to remove +3 from the left hand side (LHS) of the equation. Therefore subtract 3 (the inverse) from both sides.
This leaves x = 6
example 33:
Example 33 – Solving Equations
To find the value of x, we want to remove -4 from the left hand side (LHS) of the equation. Therefore add 4 (the inverse) to both sides.
This leaves x = 9
example 34:
Example 34 – Solving Equations
To find the value of x, we want to remove 4 from the left hand side (LHS) of the equation. This 4 means 4 times x. Therefore divide both sides by 4 (the inverse) to both sides.
This leaves x = 8
example 35:
Example 35 – Solving Equations
To find the value of x, we want to remove the divide by 3 from the left hand side (LHS) of the equation.
Therefore multiply both sides by 3 (the inverse) to both sides.
This leaves x = 12
example 36:
Example 36 – Solving Equations
To find the value of x, we want to remove the +3 from the LHS, then the times 2.
Therefore subtract 3 from both sides.
This leaves 2x = 16
Now divide both sides by 2
x = 8
example 37:
Example 37 – Solving Equations
To find the value of x, we want to remove the +1, then the divide by 3.
First subtract 1 from both sides to give
x/3 = 5
Then times both sides 3
x = 15
example 38:
Example 38 – Solving Equations
If there are brackets in an equation, expand these then solve as normal.
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