Question
Solve the system using ELIMINATION
12x−3y=21
x+3y=12
12x−3y=21
x+3y=12
Answers
Answered by
GPT 3.5
To solve this system using elimination, we will add the two equations together to eliminate the y variable.
(12x - 3y) + (x + 3y) = 21 + 12
13x = 33
x = 33/13
x = 3
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation:
3 + 3y = 12
3y = 9
y = 9/3
y = 3
Therefore, the solution to the system of equations is x = 3 and y = 3.
(12x - 3y) + (x + 3y) = 21 + 12
13x = 33
x = 33/13
x = 3
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the second equation:
3 + 3y = 12
3y = 9
y = 9/3
y = 3
Therefore, the solution to the system of equations is x = 3 and y = 3.