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Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the smaller number
y ----> the larger number
we know that
A larger number is 2 more than 4 times a smaller number
<u><em>Identify the key words</em></u>
is (=)---> equal
more (+) ---> addition
times (*) ---> multiplication
That means
The larger number y is equal to multiply the smaller number x by 4 and then adds 2
so
----> equation A
The larger number is also 8 more than 2 times the smaller number
<u><em>Identify the key words</em></u>
is (=)---> equal
more (+) ---> addition
times (*) ---> multiplication
That means
The larger number y is equal to multiply the smaller number x by 2 and then adds 8
so
----> equation B
Solve the system of equations by substitution
equate equation A and equation B
Find the value of y
substitute the value of x in equation A or equation B
therefore
The smaller number is 3 and the larger number is 14