Question

Solve this system of linear equations. Separate the x- and y- values with a comma. -13x=97-19y -17x=83+19y

Answer 1

Answer:

The solution is (-6, 1).

Step-by-step explanation:

Rewrite this system as

-13x=97-19y

-17x=83+19y

Now combine these two equations.  19y and -19y will cancel each other:

-30x = 180, so x = -6.

Now substitutte -6 for x in the first equation:

-13(-6) = 97 - 19y, or 78 = 97 - 19y.  This simplifies to:

-19 = -19y, so y = 1.

The solution is (-6, 1).