Solve System of Equations Calculator

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This tool is very effective in solving system of equations. System of equations means that there is more than one equation and from those equations, we need to find the unknown variable. This system provides step by step process to evaluate the unknown variables. It also tells us about the necessary interlinks, which are required to solve the equations.


The ‘Solve system of equations calculator tool’ can be used to solve and evaluate different kinds of situations involving system of equations.



Example 1: Solve system of equations using substitution method

 9x + 3y = 6

2x + 3y = 7

Solution 1: - For the given equations:-

 9x + 3y = 6....................................(i)

2x + 3y = 7.....................................(ii)

 Solve the equation (i)  for y.

=> 9x + 3y = 6

=> 3y = 6 – 9x

=> y = 2 – 3x [ On dividing both the sides by 3]

Substitute the value of y in the equation (ii) , we will get :

=> 2x + 3y = 7

=> 2x + 3(2 – 3x) = 7

=> 2x + 6 - 9x = 7

=> -7x + 6 = 7

=>-7x = 7 – 6

So here we will get the value of x = - 1/7 and  now we will solve for y ,we will put the value of  x in the equation y = 2-3x  , here we will get

=> y = 2- 3( -1/7) =   2 + 3/7 = 17/7 

So , here the value for x = -1/7 and the value for y = 17/7
 
Example 2: Solve the system of equation using elemination method

x + y = 35

x - y = 13

Solution: Here for the given equations :

x + y = 35...............................(i)

x - y = 13................................(ii)

Adding the equations (i) and (ii), we get

=> 2x = 48

Dividing the equation by 2

=> x = 24

Here , we  will  solve for y , by plugging the value x = 24 in equation (i)

=> x+ y = 35

=> 24 + y = 35

=> y = 35 - 24 = 11

Here the value for x = 24 and y = 11


 

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