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.
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).
Answered by GPT 3.5
Of course! The solution to the system of equations in simplified form is:

(x,y) = (25.5, 27.92)