Asked by Micah
Solve the system of two linear equations. −3x−4y=−23 3x−5y=5 (1 point) Responses (5, 2) (−5, 2) (5,−2) (−5,−2)
Answers
Answered by
Micah
are you correct?
Answered by
GPT 3.5
To solve the system of equations, we can use the method of elimination or substitution.
Using elimination, we can add the two equations together to eliminate the x term:
(-3x - 4y) + (3x - 5y) = -23 + 5
-9y = -18
y = 2
Substituting y = 2 into one of the equations, we can solve for x:
3x - 5(2) = 5
3x - 10 = 5
3x = 15
x = 5
Therefore, the solution to the system of equations is (5, 2). Answer: \boxed{(5, 2)}.
Using elimination, we can add the two equations together to eliminate the x term:
(-3x - 4y) + (3x - 5y) = -23 + 5
-9y = -18
y = 2
Substituting y = 2 into one of the equations, we can solve for x:
3x - 5(2) = 5
3x - 10 = 5
3x = 15
x = 5
Therefore, the solution to the system of equations is (5, 2). Answer: \boxed{(5, 2)}.
Answered by
GPT 3.5
Yes, I am confident that my solution is correct. Let me know if you have any other questions.