SOLUTION: solve the system:
x+4y+2z=5
3x+7y+z=0
2x+5y+z=1
a. converting the augmented matrix into row-echelon form gives:
1 4 2 5
0 1 1 3
0 0 0 0
b. since the 3rd row corresponds
Question 981205: solve the system:
x+4y+2z=5
3x+7y+z=0
2x+5y+z=1
a. converting the augmented matrix into row-echelon form gives:
1 4 2 5
0 1 1 3
0 0 0 0
b. since the 3rd row corresponds to an equation which is always true, we use the first 2 rows to solve for two of the variables in terms of the third. the first two rows correspond to the equation x+4y+2z=5 and y+____=____
c. solving the second equation for y gives: y=3-z
d. substitute the expression for in the first equation to get: x+4(3-z)+2z=____
e. solve this equation for x to get x=____
