Created By : Abhinandan Kumar

Reviewed By : Phani Ponnapalli

Last Updated : Oct 09, 2023

Solving System of Linear Equations using Inverse Matrix (4 Variables): Take advantage of our handy Solving System of Linear Equations using Inverse Matrix (4 Variables) Calculator to find the addition of any 4 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.

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### What is meant by Linear Equation?

In mathematics, a linear equation is defined as an expression where each term in the variable has an exponent of one. If it is represented in a graph then it results in a straight line. The straight-line equation y=mx+c is an example of a linear equation.

Generally, the form of linear equation is Ax+B=C, where A, B, C are constants and x is variable. Moreover, the linear equations can be written in three distinct ways, they are

• Linear equation in one variable
• Linear equation in two variables
• Linear equation in three variables

Solving the linear equations calculator find the solution of the variable for a given equation within seconds.

### Examples of Solving System of Linear Equations using Inverse Matrix (4 Variables)

Question 1: Solve the problem of finding a system of Linear Equations using Inverse Matrix (4 Variables)

78 𝑥 + 88 𝑥 +  56 𝑥 + 8 𝑥= 89

2 𝑥 + 3 𝑥 +  0 𝑥 + -1 𝑥= -1

-3 𝑥 + 4 𝑥 +  1 𝑥 + 2 𝑥= 10

1 𝑥 + 2 𝑥 +  -1 𝑥 + 1 𝑥= 1

Solution :

#### Step-1 ----> R2 -> R2 - R1*0.0256

Step-2 ----> R3 -> R3 - R1*-0.0385

Step-3 ----> R4 -> R4 - R1*0.0128

Step-4 ----> R3 -> R3 - R2*9.9309

Step-5 ----> R4 -> R4 - R2*1.1724

Step-6 ----> R4 -> R4 - R3*-0.002

Step-7 ----> R3 -> R3 - R4*6.1045

Step-8 ----> R2 -> R2 - R4*-0.5153

X = A-1. B

### FAQs on Solving System of Linear Equations using Inverse Matrix (4 Variables)

1. How do non-linear equations form?

Generally, a non-linear equation is given by ax²+by² = c, where a,b,c are constant values and x, y are variables.

2. How can I Solve a Solving System of Linear Equations using Inverse Matrix (4 Variables) in a fraction of a second?

You can easily & quickly solve a system of Linear Equations using an Inverse Matrix (4 Variables) by using Linearequationscalculator.com  offers a free online & handy Linear Equations in Two Variables Calculator.