Question

Does y=-2x + 3 and y=x - 5 intersect on the y or x axis?

Answer 1

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