Answer:
x = 4
y = 0
z = 8
Step-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 = −8
Step 3: Swap Row 2 and Row 3.After this step we have:
x+ y+ y− 8 y+ z− z− 7 z = 12 = −8 = −56
Step 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 = −120
Step 5: solve for z.
−15 zz=−120=8
Step 6: solve for y.
y−zy−8=−8y=−8=0
Step 7: solve for x by substituting y=0 and z=8 into the first equation
