To isolate the variable ( q ) in the equation ( 51q = 1020 ), you would divide both sides of the equation by 51. This operation gives ( q = \frac{1020}{51} ), simplifying to ( q = 20 ).
To isolate the variable ( z ) in the equation (-15z = 60), you would divide both sides of the equation by (-15). This operation will give you ( z = \frac{60}{-15} ), simplifying to ( z = -4 ).
divide by 51
Solving an equation using algebraic operations involves manipulating the equation through addition, subtraction, multiplication, or division to isolate the variable. This process is closely related to the concept of "undoing," where each operation is reversed to simplify the equation step by step. For example, if a variable is multiplied by a number, you would "undo" that by dividing by the same number. Both methods ultimately aim to isolate the variable and find its value.
You would use several properties. The first is that performing the same operation to both sides of an equation is valid. Next the multiplicative inverse property of 1/7 (with respect to 7).
To determine the best variable to solve for in a system of equations by substitution, look for the equation that allows you to isolate a variable easily. Typically, choose the equation where one variable has a coefficient of 1 or -1, or is already expressed in terms of the other variable. This makes substitution straightforward and minimizes complexity in calculations. Once identified, you can solve for that variable and substitute it into the other equation.
To isolate the variable ( z ) in the equation (-15z = 60), you would divide both sides of the equation by (-15). This operation will give you ( z = \frac{60}{-15} ), simplifying to ( z = -4 ).
divide by 51
Division
Solving an equation using algebraic operations involves manipulating the equation through addition, subtraction, multiplication, or division to isolate the variable. This process is closely related to the concept of "undoing," where each operation is reversed to simplify the equation step by step. For example, if a variable is multiplied by a number, you would "undo" that by dividing by the same number. Both methods ultimately aim to isolate the variable and find its value.
You would use several properties. The first is that performing the same operation to both sides of an equation is valid. Next the multiplicative inverse property of 1/7 (with respect to 7).
-g is really -1g so divide -1g by -1. what you do to 1 side, you have to do to the other side. so divide 35 by -1. the solution is g= -35
That depends entirely on the equation which has not been given but in general whatever is done on one side of an equation must be repeated on the other side in order to keep the equation in 'balance'
1-3m=24Improved Answer:-If you mean -8x = 312 then divide both sides by -8 and so x = -39But if you mean 8x = 312 then divide both sides by 8 and so x = 39
To solve a linear equation using subtraction, first isolate the variable by subtracting the same value from both sides of the equation. For example, if you have the equation ( x + 5 = 12 ), you would subtract 5 from both sides to get ( x = 7 ). This process allows you to determine the value of the variable while maintaining the equality of the equation.
To rectify the equation, you would typically need to move a term from one side to the other to achieve balance. Without the specific equation, I can't provide exact details, but generally, you would isolate a variable or constant by adding or subtracting it from both sides. This ensures that both sides of the equation remain equal while allowing for simplification or solving for a variable.
An equation with a variable is a math problem with a missing number that you have to find out using some specific steps that you are taught. Example: 4+n=5. If you want to find out what the variable is, you have to do the OPPOSITE OPPERATION and find it out. So I would take the answer, and do the opposite operation and then the answer is the variable. Of course there are MUCH harder variable equations. :D
The idea is to "isolate" the variable, in this case "x", on one side. In this case, you would start by multiplying both sides of the equation by "x".