Solve the following linear equations by graphical method. 2x - y = 1 3x + 2y...
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...
Question 3 Solve the following linear program: Max 3x+2y s.t. 2x+2y <8 A 3x+2y < 12 B 1x+0.5y < 3C x,y> 0 w How much slack is in constraint B? 2 units of slack O 10 units of slack O 2 units of surplus 10 units of surplus
3. Given the following system of linear equations: 2x + y = 16 x + 2y = 14 (a) Find the solution using the graphical method. Please show each step and not a screenshot of just the graph on excel
Solve the following linear systems of equations by Gaussian elimination. 3x+3z=0 2x+2y=2 3y+3z=3
1 (a) Employ the method of Gaussian elimination to solve the system of linear equations x+2y + 22= 4, 2x + y- z=-1 (b) State Cramer's rule for the solution of systems of linear equations, and use it to calculate the solution of the system of equations in (a)
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
Solve the following system of linear equations:x - 2y + 3z = -42x - y -z = 53x + 2y + z = 12
Solve the linear programming problem by the method of corners. Maximize P = 3x - 2y subject to x + 2y s 50 5x + 4y s 145 2x + y 2 25 y 29, x 20 The maximum is P = at (x,y) =(
1. Solve the following system of equations using Gauss-Jordan elimination. 3x - 2y +4z=3 2x +2y-2z=4 x+4y- &z=1
Solve the following system using any method you like: 3x – 2y = 1 –2x + 2y = 1