Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
Solve the systems of equations by substitution #11 2x-y-2 3x+4y-6 Solve each system by elimination or by any convenient method #13 a) 3x+4y-1 2x-3y-12 b) -4x+3y--!5 3x-2y-4
Maximize the objective function 3x + 5y subject to the constraints. x + 2y = 32 3x + 2y = 36 X58 X20, y20 The maximum value of the function is The value of x is The value of y is
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
I need help solving the following problem. Solve the system using elimination. 2x+5y+3z = -20 3x+ 2y -4z = 4 3x -3y +2z = -20 x=_______________ y=________________ z=_________________
Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution 3x + 3y + 6z = 12 3x + 2y + 2z = 7 2x + 4y + 192 = 11 The solution set is {000) (Simplify your answers.) ha ancier hovee
Solve the system by the addition method. 7) x - 4y =-15 8x - 5y = 42
9. Let A-4 Find AB (5 - 2y = 15 10. Solve (3x + 2y - 7 by using the inverse of the coefficient matrix (no credit if you use other method to solve this system)
Solve the system by the method of your choice. 4x = 5y + 3 8x = 2 - 7y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The solution set is {3} OA (Type an integer or a simplified fraction. Type an ordered pair.) OB. There are infinitely many solutions. The solution set is {(x,y)|4x = 5y + 3} or {(x,y)|8x = 2 - 7y}. C. The solution set is Ø
Solve the following system using technology: 3x +y -6z 30 +w 7y -5y +4z -2w 53 -8x +2 -78 6x +9w 51 3x +6y +10z +8w 80 e) What are the solutions to this system? If it has infinitely many, show the formulas for calculating values for each variable. Briefly describe your method: say what you had the calculator do, show what it displayed on the f) screen, and explain how you translated that to your answer in part (a)....