To find the values of x and y in a linear equation, you need to solve the equation for x or y. A linear equation is an equation of the form ax + by = c, where a, b, and c are constants and x and y are the variables.
To solve for x or y, you need to isolate the variable on one side of the equation. To do this, you can use the following steps:
Move all the terms that do not contain the variable to the other side of the equation by performing the opposite operation. For example, if you want to solve for x, you can move all the terms that do not contain x to the right side of the equation by subtracting them from both sides.
Divide both sides of the equation by the coefficient of the variable (the number in front of the variable). This will isolate the variable on one side of the equation.
For example, consider the equation 2x + 3y = 6. To solve for x, you can follow these steps:
Move all the terms that do not contain x to the right side of the equation: 2x - 6 = -3y
Divide both sides of the equation by the coefficient of x (2): x = -3y/2
Therefore, the value of x in this equation is -3y/2. To find the value of y, you can follow the same steps, but solve for y instead of x.
It is important to note that a linear equation may have multiple solutions, no solutions, or a unique solution depending on the values of the constants a, b, and c.