Finite Math
posted by Dee .
Solve the system of linear equations, using the GaussJordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions involving one parameter, enter the solution using t for the last variable. If the solution involves two parameters, add s for the second to last variable.)
4x−8y−24z=−20
x−2y−6z=−5
3x−6y−18z=15

By inspection, we see that the first equation is a linear combination (4 times) the second equation. Similarly, the third equation can be obtained by multiplying equation 2 three times.
Therefore the equations represent 3 coincident lines:
x2y6z=5
Let z = t, and y = s, then we can solve for x in terms of s and t:
x = 5 +2s + 6t
y = s
z = t
Respond to this Question
Similar Questions

Algebra
Checking a few answers to some algebra problems: 1.Find the slope of the line that passes through the points (4,1) and (3,5). I got m = 51 / 3(4) Answer is m = 4/7 2.Find the equation, in slopeintercept form, of the line that passes … 
Math
Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and … 
algebra
Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and … 
Linear Equations
Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this. 2x  8y = 22 6x  y = 20 
MATH
solve the system of linear equations using the Gauss Jordan elimination method x1 x2+ 4x3 = 15 x1+ x2 = X3 = 4 3X1X2 + X3 = 2 
college Algebra
Write the system as a matrix and solve it by GaussJordan elimination. (If the system is inconsistent, enter INCONSISTENT. If the system has infinitely many solutions, show a general solution in terms of x, y, or z.) x + 2y − … 
Precalculus
Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) x3y+2z=21 5x13y+12z=81 I have … 
Algebra/Precalculus
Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x3y+6z=6 x+2yz=8 5x8y+13z=4 … 
Algebra
Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) 3x3y+6z=15 x+2yz=11 5x8y+13z=19 
college algebra
Solve the system of linear equations and check any solutions algebraically. (If there is no solution, enter NO SOLUTION. If the system is dependent, express x, y, and z in terms of the parameter a.) x +2z=5 3xyz=12 6xy5z=27