The only solution of the given equation from all the given options is option c.
Solution of the Equation
The ordered pair is known as the solution of the equation if after substituting the values of the ordered pair both the sides of the equation are equal.
Given to us,
Equation = 2x − y = 9
a.) For (-4,1)
[tex]2x-y\\=2(-4)-1\\= -8-1\\= -9[/tex]
As we can see that (2x-y) is not equal to 9. thus it is not the solution of the equation.
b.) For (-2,5)
[tex]2x-y\\=2(-2)-5\\= -4-5\\= -9[/tex]
As we can see that (2x-y) is not equal to 9. thus it is not the solution of the equation.
c.) For (5,1)
[tex]2x-y\\=2(5)-1\\= 10-1\\= 9[/tex]
As we can see that (2x-y) is equal to 9. thus it is the solution of the equation.
d.) For (6,-3)
[tex]2x-y\\=2(6)-(-3)\\= 12+3\\= 15[/tex]
As we can see that (2x-y) is not equal to 9. thus it is not the solution of the equation.
Hence, the only solution of the given equation from all the given options is option c.
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