determine weather 10 is the solution of the equation x+10=36 is 10 the solution no
use multiplcation principle 10x=-90 -9
3[7-9{6-2)]= -87
find -x when x=-62/83*= 62/83
To determine whether 10 is the solution to the equation x + 10 = 36, we can substitute 10 into the equation and check if it satisfies the equation.
Substituting x = 10 into the equation:
10 + 10 = 36
Evaluating the left-hand side of the equation:
20 = 36
Since 20 is not equal to 36, we can conclude that 10 is not the solution to the equation x + 10 = 36.
To use the multiplication principle to solve an equation involving multiplication, division, or both, follow these steps:
1. Isolate the variable term:
If the variable is being multiplied or divided by a constant, undo this operation by applying its inverse operation. For example, if the variable is being multiplied by 3, divide both sides of the equation by 3.
2. Perform the same operation on both sides:
Maintain equality by performing the same operation to both sides of the equation.
3. Simplify to solve for the variable:
Continue to simplify the equation using the properties of operations until the variable is isolated.
For example, to solve the equation 10x = -90:
1. Isolate the variable term:
Divide both sides of the equation by 10. This will undo the multiplication by 10.
10x / 10 = -90 / 10
x = -9
Thus, the solution to the equation 10x = -90 is x = -9.
For the equation 3[7 - 9(6 - 2)]:
1. Simplify the expression within the innermost parentheses:
6 - 2 = 4
2. Apply the multiplication and subtraction from left to right:
3[7 - 9(4)]
3[7 - 36]
3[-29]
-87
Therefore, the value of the expression 3[7 - 9(6 - 2)] is -87.
To find -x when x = -62/83:
Simply substitute -62/83 into the equation -x:
-x = -(-62/83)
-x = 62/83
Therefore, when x = -62/83, -x is equal to 62/83.