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3 years ago

X=-9;y=4;z=8 -7z - 8y +5z

Mathematics

1 answer:

Ket [755]3 years ago

3 0

Answer:

Question

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Solve the following equations:

9x+y−8z=0,

4x−8y+7z=0,

yz+zx+xy=47.

Easy

Solution

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Correct option is

x=±3;y=±5;z=±4

Let 9x+y−8z=0 .......(i)

4x−8y+7z=0 .......(ii)

yz+zx+xy=47 .......(iii)

Solving (i) and (ii) by cross multiplication

7−64

−32−63

−72−4

⇒

−57

−95

−76

⇒x=−57k,y=−95k,z=−76k .........(iv)

Substituting x,y and z in (iii), we get

(−95k)(−76k)+(−76k)(−57k)+(−57k)(−95k)=47

⇒16967k

=47

⇒k

16967

361

⇒k=±

Substituting k in (iv), we get

⇒x=±3,y=±5,z=±4

which is the required solution.

Step-by-step explanation:

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