Answer:
B. [tex](-2,-3)[/tex]
Step-by-step explanation:
we know that
If a ordered pair is a solution of a linear equation. then the ordered pair must satisfy the linear equation
In this problem we have
[tex]7x-5y=1[/tex]
verify each case
case A) [tex](-3,-2)[/tex]
substitute the value of x and the value of y in the linear equation and then compare
[tex]7(-3)-5(-2)=1[/tex]
[tex]-11=1[/tex] -----> is not true
therefore
The ordered pair case A) is not a solution
case B) [tex](-2,-3)[/tex]
substitute the value of x and the value of y in the linear equation and then compare
[tex]7(-2)-5(-3)=1[/tex]
[tex]1=1[/tex] -----> is true
therefore
The ordered pair case B) is a solution
case C) [tex](0,4)[/tex]
substitute the value of x and the value of y in the linear equation and then compare
[tex]7(0)-5(4)=1[/tex]
[tex]-20=1[/tex] -----> is not true
therefore
The ordered pair case C) is not a solution
case D) [tex](4,0)[/tex]
substitute the value of x and the value of y in the linear equation and then compare
[tex]7(4)-5(0)=1[/tex]
[tex]28=1[/tex] -----> is not true
therefore
The ordered pair case D) is not a solution
