MATH SOLVE

4 months ago

Q:
# In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x. x-y-2z=4 (1) -x+3y-z=8 (2) -2x-y-4z=-1 (3) What is the new 2 Γ 2 system?

Accepted Solution

A:

Answer:2y -3z = 12-3y -8z = 7Step-by-step explanation:(1) +(2) β (x -y -2z) +(-x +3y -z) = (4) +(8) Β 2y -3z = 12__2(1) +(3) β 2(x -y -2z) +(-2x -y -4z) = 2(4) +(-1) Β -3y -8z = 7___The reduced system of equations is ...2y -3z = 12-3y -8z = 7