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Solve the system of equations: 6x + y - z = 14 2x + y + z = 22 14x + 4y = 64

User GrantS
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1 Answer

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Answer:

x = 6

y = -5

z = 17

Explanation:

a) 6x+y-z=14

b) 2x+y+z = 22

c) 14x + 4y = 64

(a+b) (6x+y-z=14)+(2x+y+z=22) (z-z =0)

= 8x+2y=38

y = (-8x+38)/2. (Simplify)

y = -4x+19

c) 14x+4y=64

4y = -14y+64

y = (-14y+64)/4

y = -7/2x + 16

-7/2x+16 = -4x+19

-7/2x + 4x = 19-16

1/2x = 3

x = 3/(1/2)

x = 6

c) 14(6)+4y= 64

84+4y=64

y= 64-84

y = -20/4

y = -5

a) 6(6)-5-z = 14

36-5-z= 14

36-5-14=z

z= 17

User Zsolt Boldizsar
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