Solve the following equation 2x/y-7=1 and 3x: y - 5 = 1: 2

               2x + 3y – z = 1 (1)
3x + y + 2z = 1 (2)
2x + 2y – 3z = –5 (3)

Multiply equation (1) by 2
4x+6y-2z=2
3x + y + 2z = 1 (2)

Add:
7x+7y = 3 (4)

Multiply equation (1) by -3
-6x-9y+3z = -3
2x + 2y- 3z = –5 (3)

Add:
-4x-7y=-8 ---(5)

Solve equations (4) and (5)
7x+7y = 3 (4)
-4x-7y=-8 ---(5)

Add:
3x= -5
x=-5/3 x solved

plug x=-5/3 into equation (4)
7(-5/3) +7y = 3
-35/3 +7y = 3
-35+21y=9
21y=44
y=44/21 y solved

substitute x=-5/3 & y = 44/21 into equation (1)

2(-5/3) + 3(44/21) -z = 1
-10/3+132/21 -z = 1
z= -10/3+132/21-1
z=(-210+396-63)/63
z=123/63 --- z solved

x= -5/3
y=44/21
z=123/63

128/3reason being 5 and 1/3 = 16/316/3 • 2/3 = 32/31 and 1/3 = 4/3 32/3 • 4/3 this will equal 128/3

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