Simultaneous Equations Types 2 equations Linear Non Linear

Simultaneous Equations

Types- (2 equations) Linear & Non Linear Non. Linear

Methods Algebraic Substitution Elimination Graphical Matrix

2 Linear Equations Graphical Method Algebraic Methods Substitution Elimination Solutions

Substitution Combine the two equations by substituting one into the other 1. Make one of the variables the subject of one of the equations 2. Substitute the subject into the other equations The result is that we end up with one equation with one unknown which we can solve for, then: 3. Find the other variable by substituting into a previous equations

Substitution

Substitution

Substitution

Substitution

Substitution

Substitution

Elimination Combine the two equations by adding/subtracting the two equations in such a way that one of the variables is eliminated 1. Make one of the variables have the same coefficient 2. Add ( if the signs are different); subtract (if the signs are different) to eliminate that variable The result is that we end up with one equation with one unknown which we can solve for, then: 3. Find the other variable by substituting into a previous equations

Elimination

Elimination

Elimination

Elimination

Elimination

Elimination

Linear & Non. Linear Graphical Method Algebraic Methods Substitution ***Elimination Solutions