The system of equations shown is solved using the linear combination method StartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayout What does 0 = 0 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines. There are no solutions to the system because the equations represent the same line. There are infinitely many solutions to the system because the equations represent parallel lines. There are infinitely many solutions to the system because the equations represent the same line.

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Answer:

The answer is A.

Step-by-step explanation:

Both equations represent the same line, therefore option d) is correct.

Step-by-step explanation:

Given :

Linear equation-

[tex]6x +5y=8[/tex]   ------ (1)

[tex]24x+20y=32[/tex]  ------ (2)

Solution :

We can observe that if equation (1) is multiply by 4 than it becomes equation (2)

[tex]4 \times(6x+5y =8)[/tex]

[tex]\Rightarrow 24x +20y=32[/tex]

A system of linear equations where the two equations represent the  same line, then there are infinite number of solution and this system of linear equation is known as dependent system.

The above both equations represent the same line, therefore according to the above statement option d) is correct.

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