Answer:
No, the 2 equations do not intersect on either the x or y axis
Step-by-step explanation:
To find the intersection point for this situation we can set the 2 equations equal to each other. Since they are both equal to y, they are equal to each other
-2x + 3 = x - 5
Solving the above problem will tell us the x value where the 2 equations have the same y value...
Get the x's to one side, and the constants to the other....
-2x - x = -5 - 3 (subtract x and 3 from both sides)
Now combine like terms...
-3x = -8
Divide both sides by -3 to isolate x
x = 8/3
Plug 8/3 in for 'x' into either equation to find the v-value
y = 8/3 - 5
y = 8/3 - 15/3
y = -7/3
The point of intersection is (8/3, -7/3)
No, the 2 equations do not intersect on either the x or y axis
