The reason for the equations x-2 y-5 and 4 x-8 y-20 to have infinite solutions is -A- The graph of the system of equations meets at infinityB- The graph reaches infinityC- The graph of both the equations is the same lineD- none of these

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Graphical Solution of Equations

The reason fo...

Question

The reason for the equations $x + 2 y = 5$ and $4 x + 8 y = 20$ to have infinite solutions is :

The graph of the system of equations meets at infinity

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The graph reaches infinity

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The graph of both the equations is the same line

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none of these

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Solution

The correct option is C
The graph of both the equations is the same line

The graph of both the equations is the same line. The second equation is 4 times the first equation.

When we try to solve these equations, the x and y factor will be completely eliminated and hence leading to infinite solutions.

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The reason for the equations x+2y=5 and 4x+8y=20 to have infinite solutions is :

The reason for the equations $x + 2 y = 5$ and $4 x + 8 y = 20$ to have infinite solutions is :