Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
Answer:
and 
Step-by-step explanation:
the perimeter of a rectangle is given by the following equation:

if a rectangle has a perimeter of 76cm and its length is 5 plus the double of its width we can use a system of equations to find the length
, and the width
.
For the perimeter of the rectangle
where
is its length, and
is its width, 76 is the perimeter of the rectangle in cm.
We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:

Substituting the equation above in 

We got that the rectangle width is w=11cm
Substituting w in the equation 

We got that the rectangle length is l=27cm
Verifying the values obtained
with l=27 and w=11
Satisfying the equation
Answer:
yes
Step-by-step explanation:
No, there are the same y values. View the y value, 1.
Good luck!
Complementary angles:
The sum of two complementary angles is 90.
When two complementary angles are adjacent, a right angle is formed.
Supplementary angles:
The sum of two supplementary angles is 180.
When two supplementary angles are adjacent, a straight angle is formed.