Question 138195
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First number:  x
Second number: y
Third number:  z


The sum of the 1st number and 2 times the third: <b>x + 2z</b>
Then subtract the 2nd number <b>x + 2z - y</b>, or <b>x - y + 2z</b> to keep things in order.
The result is 1:  <b>x - y + 2z = 1</b>


2 times the 1st number: <b>2x</b>
Plus the 3rd number:    <b>2x + z</b>
'is' means equals, so   <b>2x + z = 3</b>


The 1st number, <b>x</b>, plus 3 times the 2nd, <b>3y</b>, plus the 3rd, <b>z</b> 
is (=) <b>18</b>, so:
<b>x + 3y + z = 18</b>


So, here are your three equations.
<b> x -  y + 2z = 1</b>
<b>2x      +  z = 3</b>
<b> x + 3y +  z = 18</b>


Looking at the coefficients, I would say that Gauss-Jordan elimination is the
best solution method.  But you do it however you like.