Question

the equation x minus 4 Y equal to 5 has how many solutions

Answer 1

Hi! Here is your answer:

x - 4y = anything

Since there are two variables, it will have an infinite number of solutions.

Answer 2

Solution:

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For only one equation with more than 1 variable there are infinite number of solutions,.

It is based on the value you assign for a variable,.
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Eg:

if x = 1,.

=> x - 4y = 5

=> 1 - 4y = 5

=> -4y = 5-1

=> -4y = 4,.

=> y = -1

 (x,y) = (1,-1)

for  x and y 1 and -1 is a solution,.

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if x = 3,

=> x + 4y = 5

=> 3 + 4y = 5

=> 4y = 5 - 3

=> 4y = 2,

=> y = 1/2,.

(x,y) = (3,1/2)

for x and y,  3,1/2 is a solution,

∴ There are infinite solutions for two variables(with only one equation.)

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                                        Hope it Helps !!