Answer:
x₁ = -1
x₂ = 5/6
Step-by-step explanation:
The equations of the given linear system are:
[tex]3x_1 +6x_2=2\\9x_1 +12x_2 = 1[/tex]
Multiply the first equation by -2 and add it to the second one to solve for x₁:
[tex]-6x_1 -12x_2=-4\\9x_1 +12x_2 +(-6x_1 -12x_2)= 1-4\\3x_1=-3\\x_1=-1[/tex]
Since we already know the value of x₁, simply replace it in the first equation to solve for x₂:
[tex]3x_1 +6x_2=2\\x_2=\frac{2+3}{6} =\frac{5}{6}[/tex]
The solution for the system is x₁ = -1 and x₂ = 5/6
