Simultaneous Equations
Graphing Linear Equations (Standard Form)

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​

If the equation of a linear line is given in general form, then it can be graphed by doing the following:

• Calculate the y-intercept and gradient of the line
• Locate the y-intercept on the Cartesian plane given by the constant in the equation.
• Determine the rise and run of the line by using the coefficient of x.
• Use the rise and run from the y-intercept to locate a second point on the Cartesian plane.

• Use a ruler to rule the linear line.