PLZ HELP ME ☻
7Bx%20%2B%20z%7D%20%3D%202%2C%20%5Cquad%20%5Cfrac%7Byz%7D%7By%20%2B%20z%7D%20%3D%203%5C%5D" id="TexFormula1" title="\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\]" alt="\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\]" align="absmiddle" class="latex-formula"> Solve system of equations
1 answer:
Answer:

Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:

Second equation:

Third equation:

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

Now we use this value for "x" back in equation 1 to solve for "y":

And finally we solve for the third unknown "z":

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