A linear equation is the collection of the variables, constant and arithmetic operators like addition, subtraction, multiplication, division and equal operators which makes a straight line when we graphed that linear equation.
Ex: 2x + 3y= 5
Here x and y are variable
+, = are operators
Linear Equation in Two Variables Calculator:
To solve the linear equation using calculator, we have to enter the value of coefficient of x and y and the constant term. After pressing the solve button the value of x and y will be displayed on answer box. The linear equation calculator is shown below.
Linear equation in two variable calculator
Types of solving Linear equation:
To solve linear equation in substitution method,
Step 1: Solve the equation of one variable in terms of another variable.
Step 2: Then plug the value of the variable in another equation, we get a single variable equation.
Step 3: The next step is solve the single variable equation to get the value of the variable.
Step 4: After getting the value of one variable plug the value in any of the equation to get the value of second variable.
Example Problem on Linear Equation in Two Variables:
Ex 1: Calculate the unknown variable for the following linear equation.
2x – 3y = 5
4x+8y = 48
Sol: Step 1: Rearrange the first equation,
2x – 3y = 5
Y = (5-2x)/3
Step 2: Plug this value for y into the second equation;
4x + 8/3(5-2x) = 48
Step 3: Expand and simplify the equation:
12x + 8(5-2x) = 48*3
12x +40 – 16 x = 144
-4x = 144-40
Divide by -4 on both sides, we get
X =- 26
Step 4: Plug x value back into one of the original equations;
2(-26) -3y = 5
-52 – 3y = 5
-3y = 5+52
Divide by -3 on both sides
-3y/-3 = 57/-3
Linear equation of two variable x =26 and y =-19