Q. 5 - Precalculus Enhanced with Graphing Utilities

Question

If the solution to a system of two linear equations containing two unknowns is $x=3, y=-2$, then the lines intersect at the point _________.

Step-by-Step Solution

Answer

The required point is $(3,-2)$.

Step 1. Given information.

The solution to a system of two linear equations containing two unknowns $x=3$ and $y=-2$.

Step 2. Determine the point of intersection.

If the solution to a system of two linear equations containing two unknowns $x=a$ and $y=b$, then the lines intersect each other at point $(a,b)$.

We have, $x=a=3, y=b=-2$. So, the lines intersect each other at point $(3,-2)$.

Step 3. Conclusion.

The required point is $(3,-2)$.