Question

Converting equations change each to either the “y=“ OR “x=“ 2x+y=4

Answer 1

To convert the equation 2x + y = 4 to either y= or x= form, subtract 2x from both sides to solve for y resulting in y = 4 - 2x, or subtract y and divide by 2 to solve for x resulting in x = (4 - y)/2.

Step-by-step explanation:

Converting the equation 2x + y = 4 to the form y = mx + b or x = something is a common practice in algebra to express the equation in a manner that is ready for graphing or further manipulation.

To solve for y, we can rearrange the equation:

1. Subtract 2x from both sides of the equation to isolate y on one side: y = 4 - 2x.
2. The equation is now in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. In this case, m = -2 and b = 4.

To solve for x, you follow a similar process:

1. Subtract y from both sides: 2x = 4 - y.
2. Divide both sides by 2 to solve for x: x = (4 - y)/2.

Both forms express the same linear relationship, where x and y vary inversely.