# Algebraic Solution of Simultaneous Equations

• Simultaneous equations are a set of equations which are all linked together by shared variables.

• The algebraic solution involves using either the method of substitution, method of elimination, or the method of equations.

• Substitution involves solving one of the equations for one variable in terms of the other and replacing (substituting) it in the other equation.

• Elimination involves adding or subtracting the equations in order to eliminate one of the variables.

• Equations method involves equating coefficients of the variables after rearrangement and solving the resultant equations.

# Graphical Solution of Simultaneous Equations

• This involves sketching the graphs of the equations on the same axes.

• Each intersection point of the lines represents a solution of the simultaneous equations.

• Accuracy of these solutions depends on the quality and scale of the drawing.

# Key Terms

• Simultaneous equations: These are equations involving more than one variable.

• Substitution: This method involves replacing a variable with an expression.

• Elimination: This involves making the coefficient of one of the variables the same in both equations so the equations can be added or subtracted.

• Intersection point: The point where the graphs of the equations cross, representing the common solution to the equations.