Using the elimination method, the solution to the system of equations is: (2, 2).
<h3>How to Solve a System of Equations by Elimination?</h3>
Given the system of equations,
3x + 6y = 18 ----> equation 1
-3x + 4y = 2 ----> equation 2
Add both equations to eliminate variable x
10y = 20
Divide both sides by 10
10y/10 = 20/10
y = 2
Substitute y = 2 into equation 1 to find x
3x + 6(2) = 18
3x + 12 = 18
3x + 12 - 12 = 18 - 12
3x = 6
Divide both sides by 3
3x/3 = 6/3
x = 2
Therefore, using the elimination method, the solution to the system of equations is: (2, 2).
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