0
How to solve the system of equations 4x plus 3y plus 2z equals 34 and 2x plus 4y plus 3z equals 45 and 3x plus 2y plus 4z equals 47?
Wiki User
∙ 14y ago
4x + 3y + 2z = 34; 2x + 4y + 3z = 45; 3x + 2y + 4z = 47 First, eliminate terms in z from 2 of the equations, by muliplying first equation by 2 and subtracting third equation from the answer: 8x + 6y + 4z = 68, subtract leaving 5x + 4y = 21 (equation 4) Similarly multiply the first equation by 3 and the second by 2 giving 12x + 9y + 6z = 102 and 4x + 8y + 6z = 90 Subtract again and we have 8x + y = 12 or y = 12 - 8x Substitute this in equation 4 gives 5x + 4(12 -8x) = 21 Simplify: 5x + 48 - 32x = 21 = -27x = -27 so x = 1 y = 12 - 8x so y = 4 and in one of the original equations 4 + 12 + 2z = 34, ie 2z = 34 -16 so z =9 Check: 2x + 4y + 3z = 2 +16 + 27 = 45 and 3x + 2y + 4z = 3 + 8 + 36 = 47 QED!
Wiki User
∙ 14y ago
Anonymous
5,2
Add your answer:
Earn +20 pts
Solve the system of equations 3x plus 4y equals 12 2x plus 4y equals 8?
x = 4 and y = 0
Solve the following system of equations 5x plus y equals -9 -5x plus 2y equals 0?
x = -1.2, y = -3
6x - 6y plus 11 equals 17 9y equals 3x plus 15 Solve the system of equations and enter the solution as an ordered pair?
(0,7)
Solve this system of equations using the addition method x plus y equals 6?
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
Solve the system of equations using the elimination method negative x plus y equals negative 3 and 3x plus 2y equals 9?
By elimination: x = 3 and y = 0
Solve the system of equations 3x plus 4y equals 12 2x plus 4y equals 8?
x = 4 and y = 0
How do you Solve this system of equations using the addition method 6a - 5b equals 9 2a plus 5b equals 23?
the answer
Solve this system of equations 5x plus 3y plus z equals -29 x-3y plus 2z equals 23 14x-2y plus 3z equals -18?
Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
Solve the system of equations using linear combination a plus c equals 9 8a plus 4.5c equals 58?
a=5: c=4
Solve the following system of equations 5x plus y equals -9 -5x plus 2y equals 0?
x = -1.2, y = -3
Solve the system 5x plus 2y equals 1?
To solve for two unknowns (x and y) it is necessary to have two independent equations.
Solve the system of equations 3x - 6y equals 30 y equals -6x plus 34?
x = 6 and y = -2
6x - 6y plus 11 equals 17 9y equals 3x plus 15 Solve the system of equations and enter the solution as an ordered pair?
(0,7)
5x plus 3y plus z equals -29 solve this system of equation?
To solve an equation with three unknowns, x, y and z, you require 3 independent equations.
Solve the system of equations Enter your answer as an ordered pair 4x plus 8y equals 16 4x minus 8y equals 0?
16
Solve this system of equations using the addition method x plus y equals 6?
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
Use the substitution method to solve the system of equations Choose the correct ordered pair 2x plus 3y equals 13 x equals 2?
(2,3)
