Solve each system and show work!
1.)
x+y+z=-2
2x+2y-3z=11
3x-y+z=4
2.)
2x-y+z=-4
3x+y-2z=0
3x-y=-4
3.)
2x-3y+z=-3
x-5y+7z=-11
-10x+4y-6z=28
1.)
x+y+z=-2
2x+2y-3z=11
3x-y+z=4
2.)
2x-y+z=-4
3x+y-2z=0
3x-y=-4
3.)
2x-3y+z=-3
x-5y+7z=-11
-10x+4y-6z=28
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1.)
a) x+y+z=-2
b) 2x+2y-3z=11
c) 3x-y+z=4
2 * a) 2x + 2y + 2z = -4
.... b) 2x + 2y - 3z = 11
subtract and divide by 5 ......... z = -3
x + y = 1
3x - y - 3 = 4
3x - y = 7
add
4x = 8
x = 2, y = -1, z = -3
2.)
a) 2x-y+z= -4
b) 3x+y-2z=0
c) 3x-y= -4
a+b) 5x -z = -4
a - c) -x + z = 0
4x = -4 ...
x = -1
z = x = -1
y = 1
3.)
a) 2x -3y+ z= -3
b) x -5y +7z= -11
c) -10x +4y -6z= 28 → -5x + 2y - 3z = 14
a - 2*b) 7y - 13z = 19
5*b + c) -23y + 32z = -41
7 * 23 y - 13 * 23 z = 19 * 23
-23 * 7 y + 32 * 7 z = - 41 * 7
(32 * 7 - 13 * 23) z = 19 * 23 - 41 * 7
-75 z = 150
z = -2
7y + 26 = 19
y = -1
2x + 3 - 2 = -3
2x = -4 x = -2
x = -2, y = -1, z = -2
a) x+y+z=-2
b) 2x+2y-3z=11
c) 3x-y+z=4
2 * a) 2x + 2y + 2z = -4
.... b) 2x + 2y - 3z = 11
subtract and divide by 5 ......... z = -3
x + y = 1
3x - y - 3 = 4
3x - y = 7
add
4x = 8
x = 2, y = -1, z = -3
2.)
a) 2x-y+z= -4
b) 3x+y-2z=0
c) 3x-y= -4
a+b) 5x -z = -4
a - c) -x + z = 0
4x = -4 ...
x = -1
z = x = -1
y = 1
3.)
a) 2x -3y+ z= -3
b) x -5y +7z= -11
c) -10x +4y -6z= 28 → -5x + 2y - 3z = 14
a - 2*b) 7y - 13z = 19
5*b + c) -23y + 32z = -41
7 * 23 y - 13 * 23 z = 19 * 23
-23 * 7 y + 32 * 7 z = - 41 * 7
(32 * 7 - 13 * 23) z = 19 * 23 - 41 * 7
-75 z = 150
z = -2
7y + 26 = 19
y = -1
2x + 3 - 2 = -3
2x = -4 x = -2
x = -2, y = -1, z = -2