The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1
It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.
It is given that:
[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]
On comparing:
3x₁ + 2x₂ = 2
5x₁ + 5x₂ = -3
The above two equations represent linear equations in two variables:
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
After solving with substituion method:
x₁ = 3.2
x₂ = -3.8
Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.
Learn more about the matrix here:
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