Solving system of linear equations


b = 4a
c = b - 5

4a-b = 0
b-c = 5
a+b+c = 67

a = 8
b = 32
c = 27

Write each equation on a new line or separate by a semicolon. Online calculator solves a system of linear equations (with 1,2,...,n unknowns), quadratic equation with one unknown variable, cubic equation with one unknown variable and finally any other equation with one variable. This includes various goniometric, logarithmic and high degree equations. Even if an exact solution does not exist we calculate a numerical approximation of roots.


a+b = 12
a-3b = a-b+43
(x+4)(x-3)+34x+6x^2 = 256
(x+4)+34x+x^2-x^3 = -32
ln x = 1.2-x
sin x = cos(x-pi/3)+x
sin x = x^3+2x+x-1
sin x = 0.5
(cos x)^2 = tan(x-pi/3)
x^5+x^4 = -23+sin x
|log x|=2
|ln x+1|=x/10
|ln x+1|=ln x^2

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Unknowns (variables) write as one character a-z i.e. a, b, x, y, z, etc. No matter whether you want to solve an equation with a single unknown, a system of two equations of two unknowns, the system of three equations and three unknowns or linear system with twenty unknowns. The number of equations and the number of unknowns should be equal and the equation should be linear (and linear independent). Then you can be expected that the equations will have one solution.
It is not necessary to write equations in basic form, calculator easily perform equivalent operations on given linear system.