Explain linear equations, Mathematics

Assignment Help:

Explain Linear Equations ?

Set of ordered pairs of numbers
A set is an undefined term and we describe it as a "well defined" collection. We use the symbol "{ }" to denote "a set" and the symbol "|" inside "{ }" to denote "such that". Consider the set of ordered pairs of numbers {(2,7), (2,8), (3,7), (3,8)}. We can rewrite the set in the form {(x,y)| x is either 2 or 3 and y is either 7 or 8}. In the figure, the set of elements {(2,7), (2,8), (3,7), (3,8)} is pictured as A, B, C, and D. The points A, B, C, and D are called the graph of the set of elements {(2,7), (2,8), (3,7), (3,8)}.

Definition
The graph of a set of ordered pairs of numbers is the set of points whose coordinates are members of the original set.

Set of elements of an equation

Let's consider the following set {(x,y) | y = 2x + 1}. We can express the above set as the set of elements {...(-1,-1), (0,1), (1,3), (2,5), (3,7)...} where the set of pairs of values must satisfy the equation y = 2x + 1.

 

 


Related Discussions:- Explain linear equations

Rolle''s theorem, The curve (y+1) 2 =x 2 passes by the points (1, 0) and ...

The curve (y+1) 2 =x 2 passes by the points (1, 0) and (- 1, 0). Does Rolle's Theorem clarify the conclusion that  dy dx  vanishes for some value of x in the interval -1≤x≤1?

Create a circular table with no restrictions, 1. Four different written dri...

1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 m

Parallelogram, fig angles of a irregular polygons exterior and interior .

fig angles of a irregular polygons exterior and interior .

Calculate area of a square, The area of a square is given by the formula wi...

The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is

Calculus , Mean, variance, skewness and kurtosis of a probability density f...

Mean, variance, skewness and kurtosis of a probability density function f(r)that has a distribution of a passive scalar filed in a stationary isotropic turbulence for initial condi

Conic sections, The locus of the midpoint of the chords of an ellipse which...

The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called

Evaluate limit in indeterminate form, Evaluate following limits. S...

Evaluate following limits. Solution In this case we also contain a 0/0 indeterminate form and if we were actually good at factoring we could factor the numerator & den

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Linear Programming, A garden shop wishes to prepare a supply of special fer...

A garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers, A and B. The mixture is to contain at least 45 units of phosphate at lea

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd