Question

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Solve the system using the equation elimination . Write your answer as an ordered pair (x, y, z).
x + y + z = 3
X – y=5
y - z = -7

Answer 1

x = 2

y = -3

z = 4

( 2 , -3, 4 )

Explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

2x + z = 8 --- v

iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3