How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0

AYou cannot find points of intersections for non-functions.

BPlug in 0 for x into both equations and solve for y. Then plug that answer back into the other equation to find the corresponding x-coordinate.

CSolve both equations for x and set them equal to each other. This will give you the y-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding x-coordinates.

DSolve both equations for y and set them equal to each other. This will give you the x-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding y-coordinates.

Question

12-05-2016
Mathematics

Answered

How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0

AYou cannot find points of intersections for non-functions.

BPlug in 0 for x into both equations and solve for y. Then plug that answer back into the other equation to find the corresponding x-coordinate.

CSolve both equations for x and set them equal to each other. This will give you the y-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding x-coordinates.

DSolve both equations for y and set them equal to each other. This will give you the x-coordinates of the points of intersection. Then plug back into one of the equations to find the corresponding y-coordinates.

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Edufirst Edufirst · Answer 1 · 2016-05-20T23:02:03-04:00

x = 2y2 + 3y + 1 and 2x + 3y2 = 0

OptionC) Solve both equations for x and set them equal to each other. This
will give you the y-coordinates of the points of intersection. Then plug
back into one of the equations to find the corresponding x-coordinates.

x = 2y^2 + 3y + 1 x = - 3y^2 / 2

2y^2 + 3y + 1 = - 3y^2 / 2

4y^2 + 6y +2 = -3y^2

4y^2 + 3y^2 + 6y +2 = 0

7y^2 +6y + 2 = 0

Now you apply the quadratic formula and find y-values. Then use those values to find the x -values.