To solve the system of equations:
Step 1: Write the equations
We have:
1) (2x + y = 10)
2) (3x - 2y = 1)
Step 2: Eliminate (y)
Multiply equation 1 by 2 to make the coefficients of (y) opposites:
(4x + 2y = 20)
Add this to equation 2:
((4x + 2y) + (3x - 2y) = 20 + 1)
(7x = 21)
(x = 3)
Step 3: Find (y)
Substitute (x=3) into equation 1:
(2(3) + y =10)
(6 + y =10)
(y=4)
Answer: (x=3), (y=4)
(\boxed{x=3, y=4})


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