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Answer:
Therefore, the solution to the system of equations is (a, b) = (-1, 3).
Explanation:
We can solve this system of equations by using substitution. We can use the first equation to solve for a in terms of b:
a = 5 - 2b
Now we can substitute this expression for a into the second equation:
5a + 2b = 1
5(5 - 2b) + 2b = 1
Simplifying, we get:
25 - 10b + 2b = 1
-8b = -24
Dividing both sides by -8, we get:
b = 3
Now we can substitute this value of b into either equation to solve for a. Using the first equation, we get:
a = 5 - 2(3)
a = -1
Therefore, the solution to the system of equations is (a, b) = (-1, 3).