SYSTEM OF EQUATIONS

Question

10/X - 5/Y  = -48
5/X + 15/Y = 151
 
Solve using elimination.

Answer 1

We can choose a multiple of either the term with X or Y to eliminate one or the other. 

 

10/X - 5/Y = -48

 5/X + 15/Y = 151    (Multiply by 2 and subtract from 1st equation eliminates X)

 

10/X -   5/Y  = -48

10/X + 30/Y = 302

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        - 35/Y = -350     (Solve for Y)

 

Y = 1/10 

 

Substitute in either eqn, I'll subst in 1st eqn. 

 

10/X - 5/(1/10) = -48

10/X - 50 = -48

 

10/X = 2   (solve for X)

 

X = 5