2x+y=4

The given equation is 2x + y = 4. To work with this equation, there are a few things you can do:

1. Solve for y in terms of x: To do this, subtract 2x from both sides of the equation: y = 4 - 2x

2. Solve for x in terms of y: To do this, subtract y from both sides of the equation: 2x = 4 - y Divide both sides of the equation by 2: x = (4 - y)/2

3. Graph the equation: The equation 2x + y = 4 represents a straight line. To graph it, you can plot a few points and connect them:

   Let's choose two arbitrary values for x and calculate the corresponding y-values:

   • If we let x = 0, then y = 4 - 2(0) = 4.
   • If we let x = 1, then y = 4 - 2(1) = 2.
   • If we let x = 2, then y = 4 - 2(2) = 0.

   Plot these points (0, 4), (1, 2), and (2, 0) on a graph and draw a straight line connecting them.

4. Determine intercepts: To find the x-intercept, set y = 0 and solve for x: 2x + 0 = 4 2x = 4 x = 2 So, the x-intercept is (2, 0).

   To find the y-intercept, set x = 0 and solve for y: 2(0) + y = 4 y = 4 So, the y-intercept is (0, 4).

These are some initial steps you can take to work with the given equation 2x + y = 4. Depending on the specific question or problem you are trying to solve, you may need to employ additional strategies or calculations.