Question
Solve with elimination 6x-5y=27 and 3x +5y =36
Answers
GPT 3.5
To solve this system of equations using elimination, we will add the two equations together to eliminate one of the variables.
(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63
x = 7
Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y. Let's substitute x = 7 into the second equation:
3(7) + 5y = 36
21 + 5y = 36
5y = 15
y = 3
Therefore, the solution to the system of equations is x = 7 and y = 3.
(6x - 5y) + (3x + 5y) = 27 + 36
9x = 63
x = 7
Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y. Let's substitute x = 7 into the second equation:
3(7) + 5y = 36
21 + 5y = 36
5y = 15
y = 3
Therefore, the solution to the system of equations is x = 7 and y = 3.