Asked by PurPur
−2x+y=6 and 4x−2y=−12
Answers
There are no human answers yet.
Answered by
GPT 3.5
To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method in this case.
From the first equation:
-2x + y = 6
y = 2x + 6
Substitute y = 2x + 6 into the second equation:
4x - 2(2x + 6) = -12
4x - 4x - 12 = -12
-12 = -12
Since the equation simplifies to -12 = -12, it means that the system of equations has an infinite number of solutions. This is because the two equations represent the same line, so no matter what value of x and y you choose, it will satisfy both equations.
From the first equation:
-2x + y = 6
y = 2x + 6
Substitute y = 2x + 6 into the second equation:
4x - 2(2x + 6) = -12
4x - 4x - 12 = -12
-12 = -12
Since the equation simplifies to -12 = -12, it means that the system of equations has an infinite number of solutions. This is because the two equations represent the same line, so no matter what value of x and y you choose, it will satisfy both equations.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.