Hi need help answering this question?
In your own words, define the term equation and then explain what it means to solve an equation. Give an example of an equation and its solution. Explain why it is the solution.
Your assignment is to define and explain in your own words.
We'll be glad to check your answers.
Ms. Sue, Will you be able to help me?
I'll be glad to help you.
You start, and I'll help you from there.
An equation is a statement of equality containing one or more variables.
To solve an equation means, find the value of the variable for which the equation satisfy
An example of an equation is x + 5 12.
Solution:
x + 5 = 12
x = 12 - 5
x = 7
7 is a solution of the equation x + 5 = 12.
Because
x + 5 = 12
7 + 5 = 12
12 = 12
Since both sides are, 7 satisfy to equation.
Hi Sue,
I just post can you check to see if I answer it correct?
This looks good -- as long as the definition is in your own words.
One minor correction -- you forgot the equal sign in this line.
An example of an equation is x + 5 12
Oh yea that's right thanks!
You're welcome.
SOLVE THIS PROBLEM 2 1/3 - 1 1/2
Sure! I can help you with that.
In mathematics, an equation is a statement that shows the equality between two expressions. It typically consists of variables, constants, and mathematical symbols like plus, minus, multiply, or divide. Equations are used to represent relationships between quantities and are commonly used to solve problems.
To solve an equation means to find the value(s) of the variable(s) that make the equation true. In other words, it is finding the solution(s) that satisfy the equation. The solution(s) represents the value(s) which, when substituted into the equation, balance both sides of the equation.
Let's take an example to illustrate this. Consider the equation: 2x + 3 = 9. This is a linear equation with one variable, x. To solve this equation, we want to find the value of x that makes both sides equal.
To solve the equation, we start by isolating the variable. In this case, we want to move the constant term (3) to the other side of the equation, so we subtract 3 from both sides:
2x + 3 - 3 = 9 - 3
2x = 6
Next, we want to get rid of the coefficient of x, which is 2. To do this, we divide both sides by 2:
2x/2 = 6/2
x = 3
In this equation, the solution is x = 3. If we substitute this value back into the original equation, we get:
2(3) + 3 = 9
6 + 3 = 9
9 = 9
Since both sides of the equation are equal when x = 3, we can conclude that x = 3 is the solution to the equation.
The solution is valid because when we substitute the value x = 3 into the equation, it satisfies the equality. This means that x = 3 is the value that makes the equation true.