For each ordered pair, determine whether it is a solution to the system of equations.
{5x-3y=7 and -2x+5y=1
To determine if an ordered pair is a solution to the system of equations, we substitute the values of x and y into each equation to see if the equations are true.
For the ordered pair (x, y):
First equation: 5x - 3y = 7
Substituting the values of x and y:
5(x) - 3(y) = 7
Second equation: -2x + 5y = 1
Substituting the values of x and y:
-2(x) + 5(y) = 1
If both of these equations are true when the values of x and y are substituted, then the ordered pair is a solution to the system of equations.