Solution of simultaneous equations
The solution or solution set of a system of equations consisting of the value of all the variables present in the equations. It is necessary that these values must satisfy all the equations.
- From the first equation, find the value of one variable in terms of the other variable.
- Put the value of the variable, found in the first step, into the second equation. The second equation will be converted to a single variable equation.
- Find the value of the variable in the converted equation.
- Find the value of the second variable by putting the value of the second variable found in the third step.
Point to Remember
- If a quadratic equation has fractions then it is better to remove these fractions by multiplying all terms by LCD.
- Quadratic equations having only one solution are always a complete square.
- If b2 – 4ac< 0 then equation has no real solution because square root of a negative number is not real.
- Maximum number of solutions of an equation is equal to its degree (highest power of variable).