Substituting equations

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• Working with the method of substitution

  sither of the equations in terms of m or n and solve accordingly.)

• Gaussian elimination to solve system of linear equations

  it to the second row Substituting y and z to the first row Solutions to the system: It shows step-by-step solutions of solving system of linear equations by Gaussian elimination with back substitution.

• Differential Equations

  Substituting in the differential equation we get cannot be zero Therefore The roots of the above equation are m = 1,1,-1,-1,-5 So the solutions are The general solution is given by .y = This solution solves differential equations

• Solving Linear Equations

  Solve the system of equations by the substitution method x + 3y = 32 -3x + 2y = 3 Answer Given system of equation is x + 3y = 32 ------------------ (1) -3x + 2y = 3 ----------------- (2) From equation (1), we get, x = 32 - 3y Substituting the

• Solutions to various differential equations

  The solutions are provided to various differential equations using variables separable method and other standard methods to solve homogeneous, linear differential equations.

• System of linear equations

  /10 = 2 Substituting the value of y in (1), we get, -3x + (4 *2) = 15 That is, -3x = 15 - 8 = 7 Therefore, x = -7/3 Hence the solution is x = -7/3 and y = 2 2.

• check the solutions are correct

  By substituting the values for the solutions to the original equation, the correctness of the answers is verified.

• Solving the quadratic, cubic and quartic equations

  85178 Solving the quadratic, cubic and quartic equations A general solution for x^2+ax+b=0 x^3+ax^2+bx+c=0 x^4+ax^3+bx^2+cx+d=0 are demonstrated Please see the attached file for the complete solution. Thanks for using BrainMass.

• Solving systems of equations by substitution.

  x + y = 12 y = 2x Substituting y = 2x in x + y = 12, we get x + 2x = 12 or 3x = 12 or x = 12/3 = 4 Now, y = 2x = 2*4 = 8 Therefore, the solution is: x = 4, y = 8 A system of equations is solved by substitution.

• Differential equations

  This provides several examples of working with differential equations, including initial value problem, complex roots, a proof of the sum of angle formula, and an RLC series circuit.