Solving System of Linear Equations using Inverse Matrix (2 Variables)
Solving System of Linear Equations using Inverse Matrix (2 Variables): Take advantage of our handy Solving System of Linear Equations using Inverse Matrix (2 Variables) Calculator to find the addition of any 2 fractional equations easily. You just have to input the fractions as inputs and tap on the calculate button to get the result in no time.
Do you feel answering the complex problems on linear equations is a bit difficult? Take a look at this online calculator tool. It takes two seconds of your time to provide the exact result for the given linear equations in two variables. Make use of this user-friendly online Solving System of Linear Equations using the Inverse Matrix (2 Variables) Calculator and do your calculations efficiently and effortlessly.
What is meant by Solving System of Linear Equations using Inverse Matrix (2 Variables)?
A linear equation having only two variables with a degree of two is called a linear equation with two variables. The Solving System of Linear Equations using Inverse Matrix (2 Variables) is the value of the variable.
If we consider the example of Solving a System of Linear Equations using an Inverse Matrix (2 Variables). If we draw the equation graphically then it appears as a straight line in the vertical or horizontal direction.
Examples On Linear Equation In two variables
Example:
Solve x + y = 4 and x + 2y = 6
Solution:
Given linear equations are
x + y = 4 ……….(1)
x + 2y = 6 ……...(2)
From (1), x = 4 - y ……..(3)
Substitute (3) in (2),
x + 2y = 6
4 - y + 2y = 6
4 + y = 6
Subtract 4 on both sides of the equation
4 + y - 4 = 6 - 4
Y = 2 ………(4)
Substitute (4) in (1)
x + y = 4
x + 2 = 4
Subtract 2 on both sides of the equation
x + 2 - 2 = 4 - 2
X = 2
Hence, x = 2 and y = 2 are the variable values for the given linear equations.
FAQs on Solving System of Linear Equations using Inverse Matrix (2 Variables)
1. How many solutions have Linear Equations with Two Variables?
Let’s assume that you have a1x + b1y + c1= 0 and a2x + b2y + c2 = 0 the solutions of a linear equation with two variables are:
One and unique if a1a2 ≠ b1b2
None if a1a2 ≠ b1b2 ≠ c1c2
Infinitely many if a1a2 = b1b2 = c1c2
2. How can I Solve a Solving System of Linear Equations using Inverse Matrix (2 Variables) in a fraction of a second?
You can easily & quickly solve a system of Linear Equations using an Inverse Matrix (2 Variables) by using Linearequationscalculator.com offers a free online & handy Linear Equations in Two Variables Calculator.