What is a system of equations?, Mathematics

Assignment Help:

What is a System of Equations? And its Solution?

Here is an example of a system of equations (also called a simultaneous system of equations)
x2 + y = 3 (1)
15x + 3y = 21
It's simply a bunch of equations we want to find a single solution for. Though it usually isn't said out loud, the word "and" is always implied:
x2 + y = 3 and 15x + 3y = 21.

This means both equations are supposed to be true.

Each equation, by itself, has many solutions. For example, if x = 0 and y = 3 then the first equation is true. But the second equation isn't.
On the other hand, if x = 1 and y = 2 , then both equations are true. So we'll say this is a solution of the system.

 

 


Related Discussions:- What is a system of equations?

Point of intersection, Equation of line joining(0,0)and point of intersecti...

Equation of line joining(0,0)and point of intersection of X2+Y2+2XY=4 , 3x2+5y2-xy=7 is solution) The two equations above represent pair of straight lines. We can complete the sq

Applied Math, Calucations of gradients find f Graph some level curve f=cons...

Calucations of gradients find f Graph some level curve f=const. f=9x^2 = 4y^2

The number of filtering steps, The amount of particulate matter left in sol...

The amount of particulate matter left in solution during a filtering process is given by the equation p(n) = 500(2) -0.8n , where n is the number of filtering steps. Find the amoun

Initial recognition of the financial instruments, Grimm plc (Grimm) has the...

Grimm plc (Grimm) has the following transactions: a) On 1 st January 2010, Grimm issued 400,000 convertible £1 6% debentures for £600,000.  The professional fees associated wit

Exponential functions, The exponential functions are useful for descr...

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:          y = m. a x where '

The mean value theorem, The Mean Value Theorem : In this section we will ...

The Mean Value Theorem : In this section we will discuss the Mean Value Theorem.  Before we going through the Mean Value Theorem we have to cover the following theorem. Ro

Fundamental theorem of integral facts formulasproperties, Fundamental Theor...

Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,

X and y -intercept, X-intercept  If an intercept crosses the x-axis we ...

X-intercept  If an intercept crosses the x-axis we will call it as x-intercept .  Y-intercept Similar, if an intercept crosses the y-axis we will call it as a y-inter

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