How do you solve the system x+yz=2, 3x+5y2z=5, and 5x+4y7z=7?

1 Answer
Sep 5, 2016

The soln. : x=30,y=13,z=15.

Explanation:

Let us solve the system of eqns. using Elimination Method.

From the First eqn., z=x+y2

Using this z in the second and the third eqns., we get,

3x+5y2(x+y2)=5, i.e., x+3y=9

5x+4y7(x+y2)=7, or, 2x3y=21

Adding these last eqns., x=30.

Then from, x+3y=9,y=13.

Finally, z=x+y2=15.

These roots satisfy the given eqns.

The soln. : x=30,y=13,z=15.