when solving using multiplication principle -13x=273 how do i solve plus perform check
13x=273
Divide both sides of the equation by 13.
A performance check can be made by substituting the numerical value for x.
- 13 x = 273 Divide both sides with - 13
x = 273 / - 13
x = - 21
To solve the equation -13x = 273 using the multiplication principle, you need to isolate the variable x on one side of the equation. Here are the steps to solve this equation:
Step 1: Start with the given equation: -13x = 273.
Step 2: Divide both sides of the equation by -13 to isolate the variable x. When you divide both sides by a negative number, remember to flip the inequality sign. So, divide both sides by -13:
-13x / -13 = 273 / -13,
x = -273 / 13.
Simplifying the expression on the right:
x = -21
Therefore, the solution to the equation -13x = 273 is x = -21.
To perform a check, substitute the found value of x back into the original equation and see if it satisfies the equation:
-13(-21) = 273,
273 = 273.
Since both sides are equal, the value of x = -21 is the correct solution, and the check is successful.