Variable calculator is used to find the values for variables in linear equations. We know variables are the alphabets which having a constant value. In a 2 linear system of equation we have two variables. If we have two equations we can find the values for two variables.
Example 1: Find the value for the variable x in the equation 7x + 7 = 5x + 9
The given equation is 7x + 7 = 5x + 9
We can add -7 on both sides of the above equation
Now we can write 7x + 7 – 7 = 5x + 9 – 7
We have the equation 7x = 5x + 2, next we can add – 5x on both sides
7x – 5x = 5x + 2 – 5x
Therefore, 2x = 2 => x = 1
Example 2: Find the values for variables x and y.
2x + y =2 and x + y = 2.
We have 2 linear equation 2x + y =2 and x + y = 2
From the first equation we can write y = 2 – 2x, now we can plug in the second equation
Therefore, x + 2 – 2x = 2
Now we can simplify this as, -x = 0 => x = 0
Then we can plug this x value in the first or second equation
x + y = 2 => 0 + y = 2 => y = 2