I have this one homework problem that I think I've gotten the answer to. It's solving a 3-variable problem using Cramer's Rule. The equation is:
x+y+z=6
2x+y-4z=-15
5x-3y+z=-10
My answer was (-1,3,4). Can anyone help me verify this? I'll add the steps I took to solve it below. See if you can find any errors. My teacher requires that we show our work, and I want to make sure that it's correct in its methodology.
2006-09-22 16:52:51 · 3 answers · asked by perriermb 1 in Education & Reference ➔ Homework Help
Step 1: Use Cramer's rule to solve for variables x,y, and z. Use the formula:
| j b c |
x = | k e f |
| l h i |
--------
| a b c |
| d e f |
| g h i |
and so on using the setup:
ax+by+cz=j
dx+ey+fz=k
gx+hy+iz=l
2006-09-22 16:55:32 · update #1
Step 2: Plug in the coefficients for finding x. Solve by finding the determinate for the top of the fraction and divide by the determinate for the bottom.
2006-09-22 16:56:40 · update #2
Step 3: Do the same for y and z.
2006-09-22 16:57:05 · update #3
Step 4: I guess you go and put it back into the three equations. So, we'd get (-1,3,4).
2006-09-22 16:58:19 · update #4
Thanks Pascal; can you provide me with some more practice problems if possible?
2006-09-22 17:00:20 · update #5
Your answer is correct. Well done.
2006-09-22 16:56:04 · answer #1 · answered by Pascal 7 · 0⤊ 1⤋
If you plug your answers into the three equations, they are all equal. Your solution is correct.
2006-09-23 00:07:22 · answer #2 · answered by metatron 4 · 0⤊ 1⤋
i dunno.. i got a doff answer. maybe i'm wrong. do it once again. afresh.
if u get the same answer again, its cool.
2006-09-23 00:02:51 · answer #3 · answered by Anonymous · 0⤊ 1⤋