Simultaneous Equations
Solving Linear Equations with Unknowns on Both Sides

Simultaneous Equations

Solving linear equations {revision}

• Solving basic linear equations
• Solving more complex linear equations
• Unknowns on both sides

Solving rational equations

• Solving rational equations (part 1)
• Solving rational equations (part 2)
• Solving rational equations (part 3)

Linear inequalities

• Solving linear inequalities​

Graphs of linear equations

• Finding the gradient
• Perpendicular gradients
• Graphing linear equations (slope-intercept form)
• Graphing linear equations (standard form)

Solving simultaneous equations (bicycle problem)

• Introduction problem
• Graphical solution
• Solution by substitution
• Solution by elimination​

To solve equations with the same unknown variable on both sides:
Step 1: If necessary, expand any brackets and collect like terms.
Step 2: Remove the unknown from one side of the equation, remembering to balance the other side.
Step 3: Use inverse operations to solve for the unknown.