Question

What is y=-x-20 and y=x+17 point of intersection

Answer 1

`Point\ of\ intersection\ is\ (-(37)/(2),-(3)/(2)).`

Explanation:

Point of intersection: The point which satisfies both the equations is the point of intersection

`y=-x-20\\\\y=x+17\\\\add\ these\ two\ equations\\\\y+y=-x-20+x+17\\\\2y=-3\\\\y=-(3)/(2)\\\\y=x+17\\\\x=y-17\\\\x=-(3)/(2)-17\\\\x=-(37)/(2)\\\\Point\ of\ intersection\ is\ (-(37)/(2),-(3)/(2)).`