## Simultaneous EquationsA set of linear equations in two variables can be solved simultaneously and hence are called simultaneous equations.ax + by = k cx + dy = l - Simultaneous equations can be solved by
- Substitution Method
- Elimination Method
- Value of one variable is found
- Value is substituted to obtain the value of other variable
## Substitution MethodIn substitution method we express one variable in terms of the other and substitute it to get value of one variable. Then substitute it in any equation to get value of other variable. ## Elimination MethodThe elimination method is based on the fact that if one variable is removed from the equation then the reduced equation contains only one variable. After we can find the solution. Substitute one solution in one equation to get the other solution.**Step 1:**- Eliminate one variable by making coefficient of that variable equal in two equations.
2x − y = 3 4x + y = −6 Add the two equations 6x = −3
**Step 2:**- x = −(1/2) = −.5
**Step 3:**- Substitute in anyone
2(−.5) − y = 3 y = − 4
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