Sally was asked to find two integers such that one is three less than 4 times the other and the sum of the two integers is 42. The integers must be _____.
A.
14, 28
B.
15, 27
C.
9, 33
D.
-13, 55
Answers
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1
Answer:
the answer is C. That is 9 and 33.
Step-by-step explanation:
x = 4y - 3
x + y = 42
where x and y are the two integers. 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
add 3 to both sides of the equation to get the variable y
5y = 45
y = 9
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.
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