To solve for x in equations ax = 5, bx = 6, cx = 56, and dx = 65, divide the right-hand side by the corresponding coefficient of x (a, b, c, or d) to find x = 5/a, x = 6/b, x = 56/c, and x = 65/d respectively.
The student's question involves solving for x in various linear equations. The form of these equations is given by ax = b, where a is a constant, x is the variable, and b is a constant term representing the solution of the equation when x is isolated.
To solve for x, divide both sides of the equation by the coefficient a. This will leave x by itself on one side and b/a on the other, which is your solution.
Example:
For equation 1) ax = 5, the solution will be x = 5/a.
Similarly, you'll solve equations 3), 5), and 6) by dividing the right-hand term by the coefficient of x. So, the solutions will be x = 6/b for equation 3), x = 56/c for equation 5), and x = 65/d for equation 6). Ensure that in each case, coefficient a, b, c, and d are nonzero to avoid division by zero.
Therefore : To solve for x in a linear equation of the form ax = b, divide both sides by a to get x = b/a. Apply this formula to your given equations to find the corresponding values of x.