How the equation becomes true is given below.
Step-by-step explanation:
In an equation with one variable, the variable has a solution, or value, that makes the equation true.
- An equation is a mathematical statement that asserts the equivalence of two expressions.
- When an equation contains a variable, such as x
, the variable is considered an unknown value.
- The values of the variables that make the equation true are the solutions of the equation and can be found by solving the equation.
- A solution of an equation can be verified, or checked, by substituting in its value for the variable in the equation.
For example, the assertion that “two plus five equals seven” is represented by the equation 2
+
5
=7
.
In many cases, an equation contains one or more variables. These are still written by placing each expression on either side of an equals sign (
=
). For example, the equation x
+
3
=
5
, read “
x plus three equals five”, asserts that the expression x
+
3 is equal to the value 5.
When an equation contains a variable such as x
, this variable is considered an unknown value. In many cases, we can find the possible values for x that would make the equation true. For example, consider the equation we were talking about above: x
+
3
=
5
. You have probably already guessed that the only possible value of x is 2, because you know that 2
+
3
=
5 is a true equation. We use an equals sign to show that we know the value of a given variable. In this case, we write x
=
2 (read as “
x equals two”).
The values of the variables that make an equation true are called the solutions of the equation. In turn, solving an equation means determining what values for the variables make the equation a true statement.
The equation above was fairly straightforward; it was easy for us to identify the solution as x
=
2
.
Answer: a 46.79 pens
Step-by-step explanation: trust me
In following manner we can write an equation to represent a real-world situation
Step 1: From the problem statement, determine the known and unknown quantities.
Step 2: Using keywords, ascertain the connection between the known and unknown quantities.
Step 3: Create an equation to show how the known and unknown quantities relate to one another.
There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
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Answer:
Around 29.67 each.
Step-by-step explanation:
The bill is being split amongst 3 people. Therefore, we must divide the total price by 3:
![\frac{89}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B89%7D%7B3%7D)
=29.66666667
=29.67
Answer:
D,
degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get
![y+B=90](https://tex.z-dn.net/?f=y%2BB%3D90)
To get the measure of angle B, we must isolate B.
To isolate B, we have to remove every term from its side.
The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:
![B=90-y](https://tex.z-dn.net/?f=B%3D90-y)
The only answer option that meets this criteria is D.