Q:

x + y + z = 126x - 2y - z = 163x + 4y + 2z = 28

Accepted Solution

A:
Answer:x = 4y = 0z = 8Step-by-step explanation:Step 1: Multiply first equation by −6 and add the result to the second equation. The result is:  x3 x+y −8y + 4y + z −7z + 2z = 12 = −56 = 28 Step 2: Multiply first equation by −3 and add the result to the third equation. The result is:  x+    y−   8 y+    y+    z−   7 z−     z = 12 = −56 = −8Step 3: Swap Row 2 and Row 3.After this step we have:  x+    y+    y−   8 y+    z−     z−   7 z = 12 = −8 = −56Step 4: Multiply second equation by 8 and add the result to the third equation. The result is:  x+    y+    y+    z−     z−   15 z = 12 = −8 = −120Step 5: solve for z.−15 zz=−120=8Step 6: solve for y.y−zy−8=−8y=−8=0Step 7: solve for x by substituting y=0 and z=8 into the first equation