Solve 2x+3y=0: Find x & y Points for Line

I
Thread starter Bobs
Start date Apr 25, 2017
Tags

Algebra Linear

In summary, to solve the equation 2x+3y=0, you can use the methods of substitution or elimination. For substitution, the steps are to isolate a variable, plug in the value, solve for the remaining variable, and check the solution. For elimination, the steps are to manipulate the equations to eliminate a variable, solve for the remaining variable, and check the solution. The x and y points for the line 2x+3y=0 can be found by solving the equation or plotting points. A graphing calculator can also be used to solve the equation by graphing the line and using the intersect function.

Apr 25, 2017

Bobs

Hi,
I have 2x+3y=0 equation, I need to find x and y points to draw a line on plane. Can anyone help me?

Physics news on Phys.org

Apr 25, 2017

Greg Bernhardt

Admin

Insights Author

What have you tried?

Apr 25, 2017

WWGD

Science Advisor

Gold Member

There are infinitely-many pairs (x,y) satisfying the equation. Choose a value for either x, y and solve for the other to get a pair .

1. How do you solve 2x+3y=0?

To solve this equation, you can use the method of substitution or elimination. First, isolate either x or y on one side of the equation. Then, plug in the value for the isolated variable into the other equation to find the corresponding value.

2. What are the steps for using substitution to solve this equation?

The steps for substitution are:

Isolate either x or y on one side of the equation.
Plug in the value for the isolated variable into the other equation.
Solve for the corresponding variable.
Check your solution by plugging in the values for x and y into the original equation.

3. How do you use elimination to solve 2x+3y=0?

The steps for elimination are:

Multiply one or both equations by a constant to create opposite coefficients for either x or y.
Add or subtract the equations to eliminate one variable.
Solve for the remaining variable.
Check your solution by plugging in the values for x and y into the original equation.

4. What are the x and y points for the line 2x+3y=0?

The x and y points for the line can be found by solving the equation for either variable. In this case, solving for x yields x=-3/2y. This means that for every y value chosen, there is a corresponding x value of -3/2 times that y value. You can also plot some points to graph the line, such as (0,0), (2,-3), and (-2,3).

5. Can you use a graphing calculator to solve 2x+3y=0?

Yes, you can use a graphing calculator to solve this equation. First, rewrite the equation in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the equation becomes y=-2/3x. Then, graph the line and use the intersect function to find the x and y points where the line crosses the x and y axes, which will give you the solution to the equation.