Simultaneous Equations
Perpendicular Gradients

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​

A perpendicular gradient is a slope formed from a line that is at right-angles to the original slope. If the original slope is known, then the perpendicular slope can be found by flipping the fraction and changing the sign.