Respuesta :
x − 2y = 5
2x − 4y = 10
multiply the 1st equation by 2 then
2x - 4y = 10
2x − 4y = 10
-------------------subtract
0 = 0
equation has an infinite number of solutions
2x − 4y = 10
multiply the 1st equation by 2 then
2x - 4y = 10
2x − 4y = 10
-------------------subtract
0 = 0
equation has an infinite number of solutions
The equation of the lines x − 2y = 5 and 2x − 4y = 10 have infinity many solutions.
What is the solution of the equation?
The solution of the equation means the value of the unknown or variable.
The equation is given below.
x − 2y = 5 …1
2x − 4y = 10 …2
Multiply equation 1 by 2, compare the coefficient with equation 2.
2x − 4y = 10 …3
2x − 4y = 10 …4
The ratio of coefficient will be
2/2 = (-4)/(-4) = 10/10 = 1
The condition of the coincident line is achieved.
Then the equation of the lines have infinity many solutions.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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