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djverab [1.8K]
3 years ago
12

−6x + 3y = 18 4x − 3y = 6 is this infinite solution

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

no

Step-by-step explanation:

Given the 2 equations

- 6x + 3y = 18 → (1)

4x - 3y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term , that is

- 2x = 24 ( divide both sides by - 2 )

x = - 12

Substitute x = - 12 into either of the 2 equations and solve for y

Substituting into (2)

4(- 12) - 3y = 6

- 48 - 3y = 6 ( add 48 to both sides )

- 3y = 54 ( divide both sides by - 3 )

y = - 18

There is 1 solution (- 12, - 18 )

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