SIMALTANIUS EQUATIONS

If two linear equations are given, then we can find the values of variables, by solving those equations simultaneously.

2x+3y=10---(1)

x-3y=8-------(2)

These are the two linear equations, we can find the values of variables x&y, by solving those equations 

simultaneously.

Method:-

1) identify out of two variables here x and y, the coefficient of any variable is equal in both the equations.

2) if similar go to the 3rd step, if not same, make the co-efficient either one variable in both equations equivalent by multiplying through either one or both the equations.

3) Either add or subtract the equations to eliminate the corresponding coefficient variable.

4) Find the value of one variable first.

5)Next, find the value of another variable by substituting the importance of the first found variable in either equation.

Solutions:- In above-given equations, the coefficient of y is the same, i.e. 3 in both equations.

Hence Adding the equations (1) and (2) we get

2x+3y=10---(1)

x-3y=8-------(2)

------------------------

3x    =18 

∴ x   =18/3=6

now by substituting the value of x in equation (1)

2(6) +3y = 10

∴ 12 + 3y = 10

∴  3y = 10 - 12

∴  3y = 2

∴  y = 3/2

∴ x=6 and  y = 3/2 are solutions of given simultanious equations.