
Alyssa F. answered 10/11/19
Highly Experienced Elementary Tutor/Teacher
To make "7 times a number equals -84," you need to create a variable to represent the unknown number. In Algebra, any unknown variable is written as x., so we can write the above equation as 7x = -84. To solve the equation, you need to solve for x by dividing both sides of the equation by the coefficient of the variable, which is 7, and whatever you do to one side of an equation you have to do to both sides to keep the equation true., so:
7x = -84
7x/7 = -84/7
x = -12
Therefore, the other number in the equation is -12. To check to make sure it's correct, substitute -12 for x and you should get -84:
7x = -84
7 x -12 = -84
-84 = -84. Therefore, - 12 is the correct answer.