to find an ordered pair that satisfies the next equation
10x + 6y = 100
you need to assume the value of 1 variable and solve the equation for the other variable.
For example, if x = 0, then
10(0) + 6y = 100
6y = 100
6y/6 = 100/6 dividing by 6 at both sides
y = 50/3
If y = 0, then,
10x + 6(0) = 100
10x = 100
10x/10 = 100/10 dividing by 10 at both sides
x = 10
Then, (0, 50/3) and (10, 0) are two ordered pairs that satisfy the equation.