Simultaneous Equations
Finding the Gradient

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​

The gradient of a linear line is the measure of steepness or slope. It is found by dividing the rise by the run. If two coordinates along the line are known, then the gradient is found by dividing the difference between the y-coordinates (rise) with the difference between the x-coordinates (run).