Answer:
[tex]-2[/tex]
Explanation:
We start by the assignment of variables
Let the larger number be x and the smaller number be y
x is 11 more than three times y
Mathematically, we have this as:
[tex]x\text{ = 11 + 3y}[/tex]
The sum of the two numbers is 2 :
[tex]x\text{ + y = 2}[/tex]
Substitute equation 1 into 2
Thus, we have it that:
[tex]\begin{gathered} 11\text{ + 3y + y = 2} \\ 11\text{ + 4y = 2} \\ 4y\text{ = 2-11} \\ 4y\text{ = -9} \\ y\text{ = }\frac{-9}{4} \\ y\text{ = -2.25} \end{gathered}[/tex]
Recall, we are to use the exact number since decimals are involved
So, we say the smaller number is -2
