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

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 $- 10 X - 3 Y = 3$ by $\left(- 5\right)$ you get
$50 X + 15 Y = - 15$
comparing this to the second given equation
$50 X + 15 Y = - 14$
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.