
I have put this into the form
$0.5x_1 + 0.25x_2 + x_3=6$
$-x_1 - 3x_2 + x_4=-2$
$x_1 + x_2 = 10$
Is this correct? If so, how do I find a basic solution so that I can begin the simplex algorithm?

I have put this into the form
$0.5x_1 + 0.25x_2 + x_3=6$
$-x_1 - 3x_2 + x_4=-2$
$x_1 + x_2 = 10$
Is this correct? If so, how do I find a basic solution so that I can begin the simplex algorithm?
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