Answer:
[tex]Point\ of\ intersection\ is\ (-\frac{37}{2},-\frac{3}{2}).[/tex]
Step-by-step explanation:
Point of intersection: The point which satisfies both the equations is the point of intersection
[tex]y=-x-20\\\\y=x+17\\\\add\ these\ two\ equations\\\\y+y=-x-20+x+17\\\\2y=-3\\\\y=-\frac{3}{2}\\\\y=x+17\\\\x=y-17\\\\x=-\frac{3}{2}-17\\\\x=-\frac{37}{2}\\\\Point\ of\ intersection\ is\ (-\frac{37}{2},-\frac{3}{2}).[/tex]
