Answer:
there is no solutions.
Step-by-step explanation:
replace y in 2y=4x+6 with 2x+6
2(2x+6)=4x+6
mulitply the terms
4x+12=4x+6
subtract 4x from both sides or the equal sign.
the answer is 12=6 which is not equal to each other
there's not solutions.
The given system of equation has a no solution.
Let the system of equation be:
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
a₁ / a₂ = b₁ / b₂ = c₁ / c₂ (Infinite solutions)
a₁ / a₂ ≠ b₁ / b₂ (Unique solution)
a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ (No solution)
First equation of the system is 4x - 2y + 6 = 0
Second equation of the given system is 2x - y + 6 = 0
a₁ / a₂ = 4 / 2 = 2
b₁ / b₂ = -2 / -1 = 2
c₁ / c₂ = 6 / 6 = 1
Hence, as (a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂) the given system of equations has a no solution.
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