Final answer:
To find the values of 'a' and 'b', we isolate these variables in the respective equations. By substituting the given values from the ordered pairs into the equations, we find that 'a' equals -4 and 'b' equals 7/3.
Step-by-step explanation:
To determine the values of 'a' and 'b' that satisfy the set of equations given, we have the first equation 5a = -20 (since the given ordered pair for this equation is (a, -4), and we replace y with -4) and the second equation -3y = 4x + 5. From the first equation, we can immediately find the value of 'a' by dividing both sides by 5, yielding a = -4.
Now, given the ordered pair (-3, b), we will plug in x = -3 into the second equation to solve for 'b'. Thus, we substitute and get -3y = 4(-3) + 5, which simplifies to -3y = -12 + 5. Solving for 'y' gives us 'y = b' so -3b = -7 and therefore, b = 7/3. By plugging in the appropriate values into the given equations, we've found that 'a' equals -4 and 'b' equals 7/3 for the given ordered pairs to satisfy the set of equations.