Georgia Joined the Big Race. Her Race Can Be Modeled With the Equasion Y=3x+4

Equation systems Step past Step

Examples of systems of equations

• A system of two equations with two unknowns

• 2x - y = 5 3x - y = seven

• x - y = 1 y - 2x = 1

• A system of three equations with three variables

• x1 - 2x2 + 3*x3 = 14 2x1 + 3x2 - 4x3 = 0

• Gauss Method

• x - y - one = 0 x + y + two = 0

• Cramer Method

• 2*ten - 3*y = 5 5*x + y = 4

• Straight method

• two*x - y = 3 ii*x + y = 9

• Nonlinear Equations System

• 10^ii - 1 = 1 + y/2 i - y^2 = 2 + x

• A organization of four equations

• x1 + 2x2 + 3x3 - 2x4 = 1 2x1 - x2 - 2x3 - 3x4 = 2 3x1 + 2x2 - x3 + 2x4 = -5 2x1 - 3x2 + 2x3 + x4 = 11

• A system of linear equations with four unknowns

• 2x + 4y + 6z + 8v = 100 3x + 5y + 7z + 9v = 116 3x - 5y + 7z - 9v = -40 -2x + 4y - 6z + 8v = 36

• A system of three non-linear equations with either a foursquare or a fraction

• 2/x = xi 3x + 5y + 7z + 9v = 116 ten - three*z^2 = 0 two/7*x + y - z = -three

• A system of two equations with a cube (3rd degree)

• x = y^three x - iii*z^2 = 0 x*y = -5

• A system of equations with a square root

• x + y - sqrt(x*y) = 5 ii*ten*y = 3

• A arrangement of trigonometric equations

• x + y = five*pi/2 sin(x) + cos(2y) = -i

• A arrangement of either exponential or logarithmic equations

• y - log(x)/log(three) = 1 x^y = iii^12

What the figurer can do?

• Solves systems of equations by various methods:
  • Cramer Method
  • Gauss Method
  • Numerical solution
  • Graphical method
• Detailed solution in iii ways:
  • Cramer and Gauss methods
  • Straightforward Variable Exchange

The above examples besides contain:

• the modulus or absolute value: absolute(x) or |ten|
• square roots sqrt(x),
  cubic roots cbrt(10)
• trigonometric functions:
  sinus sin(ten), cosine cos(10), tangent tan(x), cotangent ctan(x)
• exponential functions and exponents exp(x)
• inverse trigonometric functions:
  arcsine asin(x), arccosine acos(x), arctangent atan(x), arccotangent acot(x)
• natural logarithms ln(x),
  decimal logarithms log(x)
• hyperbolic functions:
  hyperbolic sine sh(10), hyperbolic cosine ch(x), hyperbolic tangent and cotangent tanh(x), ctanh(x)
• inverse hyperbolic functions:
  hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(ten), hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x)
• other trigonometry and hyperbolic functions:
  secant sec(ten), cosecant csc(x), arcsecant asec(x), arccosecant acsc(x), hyperbolic secant sech(x), hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), hyperbolic arccosecant acsch(ten)
• rounding functions:
  round down floor(x), circular upwardly ceiling(x)
• the sign of a number:
  sign(x)
• for probability theory:
  the fault part erf(x) (integral of probability), Laplace office laplace(10)
• Factorial of ten:
  ten! or factorial(x)
• Gamma role gamma(ten)
• Lambert'south function LambertW(x)

The insertion rules

The post-obit operations can be performed

2*10

- multiplication

3/10

- division

ten^2

- squaring

x^3

- cubing

10^5

- raising to the ability

x + 7

- addition

x - 6

- subtraction

Real numbers

insert as 7.five, no 7,5

Constants

pi

- number Pi

e

- the base of natural logarithm

i

- circuitous number

oo

- symbol of infinity

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Source: https://calculator-online.org/systemofequations

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