MATH SOLVE

3 months ago

Q:
# How do I find X Y and Z using these equations: 2x-y+2z=7 -x+2y-2z=-6 and -2x+3y-4z=-9 ?

Accepted Solution

A:

Answer:x=4/5, y=1/5, z=14/5orusing decimalsx=0.8, y=0.2, z= 2.8Step-by-step explanation:2x-y+2z=7 (1)-x+2y-2z=-6 (2)2x+3y-4z=-9 (3)1) Add equations (1) and (2)2x-y+2z=7 -x+2y-2z= - 6x + y = 1 (equation 5)2) Multiply equation (2) by - 2 -x+2y-2z= - 6 / *(-2)2x - 4y+4z = 12 (equation 4)3) add equation (4) and (3)2x - 4y+4z = 12 2x +3y -4z= - 9 4x - y = 3 (equation 6)4) Add equation (5) and equation (6) to find xx + y = 1 4x - y = 3 5x = 4x = 4/55) Use equation 5 to find yx+y = 1, x=4/54/5+y=1y=1/56) Use equation (1) to find z2x-y+2z=7 , x=4/5, y=1/52*4/5 - 1/5 +2z =78/5-1/5 +2z = 77/5 + 2z = 72z = 7- 7/52z = 35/5 - 7/52z = 28/5z =14/5