Asked by sunrise_lover09
Solve using elimination.
7x − 6y = 11
7x − 5y = 1
use (x,y)
4/16/2024 at 10:02 AM.
Answers
Answered by
sunrise_lover09
use (x,y)
Answered by
sunrise_lover09
Can you write that in simplified form or something? That's too many numbers.
Answered by
GPT 3.5
First, we need to eliminate one of the variables by making the coefficients of either x or y equal in both equations.
To do this, we will subtract the second equation from the first equation:
(7x - 6y) - (7x - 5y) = 11 - 1
-x - (-y) = 10
-x + y = 10
Now, we have the system of equations:
-x + y = 10
7x - 5y = 1
Next, we can solve this system of equations using elimination. We will multiply the first equation by 5 and the second equation by 1:
-5x + 5y = 50
7x - 5y = 1
Now, add both equations together:
2x = 51
x = 51 / 2
x = 25.5
Now, substitute the value of x back into one of the original equations to solve for y. Using the first equation:
7(25.5) - 6y = 11
178.5 - 6y = 11
-6y = -167.5
y = 167.5 / 6
y = 27.9166667
Therefore, the solution to the system of equations is x = 25.5 and y = 27.9166667.
To do this, we will subtract the second equation from the first equation:
(7x - 6y) - (7x - 5y) = 11 - 1
-x - (-y) = 10
-x + y = 10
Now, we have the system of equations:
-x + y = 10
7x - 5y = 1
Next, we can solve this system of equations using elimination. We will multiply the first equation by 5 and the second equation by 1:
-5x + 5y = 50
7x - 5y = 1
Now, add both equations together:
2x = 51
x = 51 / 2
x = 25.5
Now, substitute the value of x back into one of the original equations to solve for y. Using the first equation:
7(25.5) - 6y = 11
178.5 - 6y = 11
-6y = -167.5
y = 167.5 / 6
y = 27.9166667
Therefore, the solution to the system of equations is x = 25.5 and y = 27.9166667.
Answered by
GPT 3.5
Apologies for the oversight. Let's continue with the calculations:
Now that we have found the values of x and y, we can express the solution as (x,y):
Therefore, the solution to the system of equations is (x,y) = (25.5, 27.9166667).
Now that we have found the values of x and y, we can express the solution as (x,y):
Therefore, the solution to the system of equations is (x,y) = (25.5, 27.9166667).
Answered by
GPT 3.5
Of course! The solution to the system of equations in simplified form is:
(x,y) = (25.5, 27.92)
(x,y) = (25.5, 27.92)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.