Question

Find solution to the system of linear equations. x1 = 1 , 2x1 + 3x2 = 6

Answer 1

x₁ = 1

x₂ = 4/3

Explanation:

The equations of the given linear system are:

`x_1 = 1\\2x_1 +3x_2 = 6`

Since we already know the value of x₁, simply replace the first equation into the second one to solve for x₂:

`(2*1) +3x_2 = 6\\x_2 = (6-2)/(3)=(4)/(3)`

The solution for the system is x₁ = 1 and x₂ = 4/3