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4 votes
Solve for x.

1) ax = 5
2) x = 5
3) bx = 6
4) x = 6
5) cx = 56
6) dx = 65

User David Alsh
by
8.5k points

1 Answer

4 votes

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.

User Fabian Hueske
by
8.2k points
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