To solve this problem, we are going to set up a system of equations, letting x represent the value of one integer and y the value of the other.
x = 4y - 3
x + y = 42
To solve this system of equations, we are going to use substitution. We know that x = 4y - 3, so we are going to replace the variable x with this value in the second equation.
(4y - 3) + y = 42
Now, let's combine like terms in the equation.
5y - 3 = 42
Next, let's add 3 to both sides of the equation to get the variable y alone.
5y = 45
Finally, let's divide both sides by 5.
y = 9
Now that we know the value of y, let's substitute this value back into the second equation.
x + (9) = 42
Let's subtract 9 from both sides of the equation to get the variable x alone.
x = 33
Thus, the answer to your question is C. 9, 33 because y = 9 and x = 33 in our equations.
Hope this helps! :)
