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4 votes
2x+3y=12 and 7+3y=-2x

User Al
by
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1 Answer

6 votes

Answer:

no solution

Explanation:

given the system of equations

2x + 3y = 12 → (1)

7 + 3y = - 2x ( add 2x to both sides )

2x + 3y + 7 = 0 ( subtract 7 from both sides )

2x + 3y = - 7 → (2)

subtract (2) from (1) term by term

(2x - 2x) + (3y - 3y) = 12 - (- 7) , that is

0 + 0 = 12 + 7 , resulting in

0 = 19 ← not possible

This situation indicates the system has no solution

User Bpoiss
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