Solve the following system using the elimination method.
3x+2y=1
2x-y=10
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Answer:
Step 1 : Multiple both sides by 2
3x + 2y = 1
4x - 2y = 20
Step 2 : Eliminate 1 variable by adding the equations
7x = 21
Step 3 : Divide both sides by 7 to solve for x
x = 3
Step 4: Substitute the value of x into 3x + 2y = 1
3(3) + 2y = 1
Step 5: Solve for y
2y = 1 - 9
2y = -8
*divide by 2
y = - 4
Solution:
(x,y) = (3, -4)