How do you solve -10X-3Y=310X3Y=3 and 50X+15Y=-1450X+15Y=14?

1 Answer
Jun 27, 2015

There is no "solution" for this pair of equations; they represent two parallel lines (they do not intersect).

Explanation:

If you multiply -10X-3Y=310X3Y=3 by (-5)(5) you get
50X+15Y = -1550X+15Y=15
comparing this to the second given equation
50X+15Y = -1450X+15Y=14
we see that the left sides (containing all the variables) are identical
but the right side have different constant values.
Therefore the lines are parallel but not identical.