Lubna 7 answers
What are linear equations?
I have always heard about first, second and third degree equations, but I don't understand what linear equations are and if they are done in the same way.
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linear equations are equations that included a variable and the variable power is always 1
first, second and third degree equations are usually not done the same way
as far as i know
first could solve by basic Arithmetic
second by quadratic equation and
third by cubic equation
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Its just the equation of a straight line. Where y=mx +c. m is the gradient of the line (a constant, when it is a straight line) and c is the value of y when x=0. In other words, the "y intercept". Hope this helps! Colin
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Nidhi Upadhyay
Linear equations are those whose variables lies in the same or you can say the variable should have not more than 1 degree
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Aico
Linear equations are equations in which the maximum power of the variable (often written as x) is 1, indicating that they produce straight lines when graphed. They are usually written in the form ax+b=0, where a and b are constants.
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a linear equation is an algebraic equation which creates a straight line on a graph. It creates a straight line because all the variables in the algebraic expressions that make up the equation are to the whole number power of 1. (E.g. in the equation x+3= 6. The x is to the power of 1, the 3 is to the power of 1 and the 6 is to the power of 1 as well i.e any numbers or letter on their own are always to the power of 1. Imagine that they all have little 1s exponent next to each one.)
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Madhu Sudhan Chebrolu
Linear equations are the algebraic expressions where a single expression is present and can be represented on a graph . For example: ax+b=0 is an linear equation which has a power of one, where the value of x depends upon on a and b variables.
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Linear Equations are just mathematical equations which when drawn on a coordimate plane i.e. ( on graph ) gives a straight line, which are of the form ax+by+c = 0 for two variables x and y.
And highest power of variable must be 1 , thats why the name linear
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Rathish Velikkal
Linear equatons are equations that can have one, two, or more variables, but the degree of each variable is always 1.
Eg: 2x+3 =7
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Linear equations are one in which the powerb of the variable is one .
For example
5x+2=0
8x+7=0
When we plot these equation on a graph using coordinate points we will get a straight line.
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Linear means straight line hence equations that give straight lines when a graph is plotted
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Ella martins Busienei
Verified Tutor
is an equation in which the highest power of the variable is always 1,written in the form ax+ b=0,where a and b are constants while x is a variable and a is not equal to zero
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Oluwatobi Akinsanya
A linear equation is an equation( i.e it has an equality sign =) in which the highest power of the variable (a symbol, usually a letter like x or y, that represents a number in which its value is not given) is always 1.
It is also known as a first degree equation.
In a linear equation we find the value of the unknown.
For example.
ax +b = c
Where a,b and c are the numbers whose value are known, where x is the unknown terms.
Examples of linear equations are 2x+5 = 19.
Where a,b and c are 2,5 and 19 respectively and x is the unknown.
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An equation which each term is either a constant or contains only one variable, which each variable has an exponent of 1, and which always has a straight line as a graph
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Hi Michelle,
Linear equations follow the form of a 'first degree' equation: an+b
A 2nd degree equation would be n the power of 2: a(n^2)+bn+c
A 3rd degree equation would have n^3 as it's highest order: a(n^3) +b(n^2)+c
where n is the variable.
So, if you substitute values into a 1st degree equation, it forms a linear equation as such:
Example (2n+3)
for n=0: 2x0+3=3
n=1: 2x1+3=5
n= 2: 2x2+3=7
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Hi Michelle, here is an answer to your question!
A linear equation is the equation of any straight, diagonal line on a graph.
A linear equation must follow the structure of: y = mx + c. y is the y co-ordinate. m is the gradient of the line. x is the x co-ordinate. And finally c is the y-intercept (where the line crosses the y-axis.)
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Hello Michelle
Linear equations are actually combination of numerals and variables
Must known thing is... Highest degree of a linear equation must be 1.
Linear equations are containing only one variable at a time and using seperation method, we just have to find value of the variable.
There are some basic rules to solve a linear equation.
Linear equation always have both left hand side and right hand side connected with "=" sign.
This sign is used to balance the equation.
Always remember that, there is no operation can be performer between a number and a
variable .
We can add, subtract, multiply and divide
Between two or more numbers And between 2 or more variables
But simply we can not perform and operation between a number and a variable.
Hope this help you.
VIRENDRA PRATAP SINGH JHALA
[M.Sc (applied mathematics) ]
India
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Olamide
To start with,
Understand the following terms first before I explain what Linear Equation is:
🔺 Variable: the unknown value in the equation, i.e the letter/ alphabet. Example x is the variable in 2x + 5 =10
🔺 Exponent/Power: it's the number or alphabet but most time numbers that is raised by a variable. Example, in 2x +5= 10 1 is the exponent/power of the variable x. Note: (the power 1 will be invincible)
Now what is Linear Equation, it's a type of equation that it's variable highest power is 1.. Example; 3x - 8 = 23..
Illustration: which of these equations is a linear equation?
A. 4x^2 + 6 = 8
B. 4x + 6= 8..
The correct answer is B
I hope I have been able to explain what Linear Equation is.
Thank you
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Hiya, a linear equation is an equation which forms a straight line. The general formula of a linear equation is y=mx+c, and it is linear because the x value is not squared.
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Sami Ullah
Hey Michelle. The concept of linear equation is pretty much simple. It is also known as a straight line equation because it represents a strait line when graphed. That is the physical meaning of linear equation. In mathematical language,it is an equation in which the highest degree( power) of the variable is 1 though the equation may contain two or three variables but the power of the variable will always be 1. I hope you understand what I mean.
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Farzana Ishrat
An equation with one variable having one degree
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Linear equations are the equations relating two variables in the power of 1. They are in a form of a straight line in a plane coordinates system. Their key features on the graph are slopes, y-intercepts and x-intercepts.
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This is a wonderful question indeed! Can we say that linear equations are a form of first-degree equations? Yes, of course.
So moving on, a straight line corresponds to a linear equation, implying that the highest power of the variable involved is one. Which means that when the variable x is defined, the exponents assigned to it can’t be more than one. Because of their geometrical property, one is straight line, these equations are called linear equations.
For example
A first-degree equation (linear equation) looks like:
2𝑥+3=7
2x+3=7.
A second-degree equation (also called a quadratic equation) has the variable raised to the power of 2:
𝑥(power)2+5𝑥−6=0
x (power)2+5x−6=0.
A third-degree equation (cubic equation) has the variable raised to the power of 3:
𝑥(power)3−4𝑥(power)2+2=0
x (power)3 −4x (ower)2 +2=0.
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Tayyab
A linear equation is a type of equation that only has 1 variable in it. And when this equation is plotted in a graph, it is shown as a straight line.
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One exaple of a linear equation is the formular A2 x B2 = C, the numbers should never have a power higher than one. This can be placed on a simple graph.
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Linear equations are the easiest equations it's characteristics are :1) the variable is of 1st degree 2) when graphed it is represented by a straight line
To solve : for ex. 2x + 4 = 8.6
Step 1 eliminate the added number here is 4 by subtracting 4 on both sides now
2x =8.6 -4
2x = 4
then divide by 2 to find x :
x = 2.3
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Hi Michelle,
A linear equation is actually a first degree equation - it is just a different name for it. The name comes about because it describes a straight line on a graph (hence linear!).
Sometimes such an equation is written as:
y=mx+c
where:
m is the slope of the line (change in y for a unit change in x)
c is the intercept on the y axis (value of y when x is 0).
I hope that helps a bit!
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Suryam
Linear equations are equations with the highest degree being one. They can be drawn straight. They are written in the form y=mx+c, where m= is the slope of the line, and c is the y-intercept. They are not solved in the same way. First-order equations can be solved algebraically. Second-order equations can be solved using the quadratic formula or grouping method, and cubic equations are solved using the cubic formula or by grouping. The degree of the equations also gives the maximum number of solutions the equations can have.
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Breaking it to smallest term, Linear equations are equations having 1 as the highest power for x variable in an equation.
E.g 2x + 4 = 8 ......... we can see that the x variable has a power of 1 (i.e x^1 = x ) .
Linear equations deals with equation of a straight line graph (i.e any equation you can plot on a straight line graph is a linear equation) .
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Hannan
In the linear equations such as Y = m X, there is always a constant link (m) between the simple input (X) and simple output (Y). In fact, the simple input and output of the equation are linearly coupled with each other. If the power of the input (X) increases, the degree of the relation goes up. For instance, Y = m X^2 or Y = m X^3, etc.
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A linear equation is that in which constants and variable of exponent 1 only are involved. And graph of a linear equation is always a straight line.
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