Final answer:
To find the solutions to the equation 3x - 5y = 20, substitute the given values and solve. The solutions are (5, 1) and (10, 2) for the ordered pairs (5, Y₁) and (x₂, 2), respectively.
Step-by-step explanation:
To identify the values that create ordered pairs which are solutions to the equation 3x – 5y = 20, one needs to substitute the known x or y values into the equation and solve for the unknown counterpart. For the ordered pair (5, Y₁), we can plug x = 5 into the equation and solve for Y₁. Likewise, for the ordered pair (x₂, 2), we substitute y = 2 into the equation and solve for x₂.
Solution for (5, Y₁):
3(5) – 5Y₁ = 20
15 – 5Y₁ = 20
–5Y₁ = 20 – 15
–5Y₁ = 5
Y₁ = -5/ –5
Y₁ = 1
Therefore, the y-value for the first ordered pair is 1, making (5, Y₁) = (5, 1).
Solution for (x₂, 2):
3x₂ – 5(2) = 20
3x₂ – 10 = 20
3x₂ = 20 + 10
3x₂ = 30
x₂ = 30/3
x₂ = 10
Hence, the x-value for the second ordered pair is 10, making (x₂, 2) = (10, 2).