Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) 5x – 3y + 5z = -8 {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
7x – 3y + 3z = 8 {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) 2x - 2z = 16 {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
Answer: Given equations
2x+3y−z=6 →(1)
x−y+7z=8 →(2)
3x−y+2z=7 →(3)
(1)+3×(2)
2x+3y−z+3x−3y+21z=6+24
5x+20z=30
x+4z=6 →(4)
(3)−(2)
2x−5z=−1 →(5)
2×(4)−(5)
2x+8z−2x+5z=12=1
13z=13
z=1
x=6−4z
x=2
⇒ 2(2)+3y−1=6
y=1
∴ x=2,y=1,z=1 is solution of given equations.
Step-by-step explanation: hope it is help full
