Question

Solve this system of equations by using the elimination method.

Answer 1

Using the elimination method, the solution to the system of equations is: (2, 2).

How to Solve a System of Equations by Elimination?

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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