Question

Use the elimination method to solve the systems of equations choose the correct ordered pair 3x+6y=36 3x-6y=0

Answer 1

(6, 3)

Explanation:

Given the 2 equations

3x + 6y = 36 → (1)

3x - 6y = 0 → (2)

Add the 2 equations term by term to eliminate the y- term

(3x + 3x) + (6y - 6y) = (36 + 0)

6x = 36 ( divide both sides by 6 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

(1) : 18 + 6y = 36 ( subtract 18 from both sides )

6y = 18 ( divide both sides by 6 )

y = 3

Solution is (6, 3)

Answer 2

the solution is (6, 3)

Explanation:

Subtract the second equation from the first, as indicated:

3x+6y=36

-( 3x-6y=0)

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12y = 36. Then y = 36/12 = 3.

Subbing 3 for y in the second equation, we get 3x - 6(3) = 0, or 3x = 18, or x = 6.

Thus, the solution is (6, 3).