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The linear combination method is applied to a system of equations:

(4x + 10y = 12)One-half
(10x + 25y = 30) – One-fifth
2x + 5y = 6
–2x – 5y = –6
0 = 0

What does 0 = 0 indicate about the solutions of the system?

User Nick Duddy
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2 Answers

4 votes

Answer:

There are infinitely many solutions to the system.

Explanation:

d

User Gunnerz
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3 votes

Answer:

Infinitely many solutions

Explanation:

We are given that


4x+10y=12...(1)


10x+25y=30....(2)

We have to find that 0=0 what indicates about the solution of the system

Equation (1) divided by 2 and equation (2) divided by-5 then we get


2x+5y=6.....(3)


-2x-5y=-6...(4)

Adding equation (3) and (4) then we get


0=0

We know that


0=0

When we get these type of condition in which 0=0

Then , the solution of the system are infinite.

Hence, 0=0 indicates that solution of the system are infinite.

User Jeff Hubbard
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8.4k points