Question
Tell whether the system has one solution, infinitely many solutions, or no solution.
x=-7y+34 x+7y=32
x=-7y+34 x+7y=32
Answers
GPT 3.5
To determine whether the system has one solution, infinitely many solutions, or no solution, we can try to solve the system of equations using elimination or substitution. Let's solve the system using substitution:
From the first equation, we have x = -7y + 34.
Substituting this into the second equation, we get (-7y + 34) + 7y = 32.
Simplifying, we have -7y + 34 + 7y = 32.
Combining like terms, we have 34 = 32.
Since this is not a true statement, the system of equations has no solutions.
From the first equation, we have x = -7y + 34.
Substituting this into the second equation, we get (-7y + 34) + 7y = 32.
Simplifying, we have -7y + 34 + 7y = 32.
Combining like terms, we have 34 = 32.
Since this is not a true statement, the system of equations has no solutions.