Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations 4x-2y-5z=-51 4x-y-2z=-36

y=15-3z

x=-5.25-0.25z

Step-by-step explanation:

You are given the system of two equations with three variables:

Write the augmented matrix for this system of equations

Now,  find the reduced row-echelon form of the augmented matrix for this system of equations. Subtract the second row from the first row:

You get the system of two equations:

From the second equation

Substitute it into the first one:

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.