Question
2x-y=1 x+y=14 solve by the elimination method
Answers
GPT 3.5
To solve the system of equations using the elimination method, we can add the two equations together to eliminate the y term.
(2x - y) + (x + y) = 1 + 14
Simplifying the left side:
2x - y + x + y = 15
Combining like terms:
3x = 15
Dividing both sides by 3:
x = 5
Now substitute the value of x back into one of the original equations to solve for y. Using the second equation:
x + y = 14
5 + y = 14
Subtracting 5 from both sides:
y = 9
Therefore, the solution to the system of equations is x = 5 and y = 9.
(2x - y) + (x + y) = 1 + 14
Simplifying the left side:
2x - y + x + y = 15
Combining like terms:
3x = 15
Dividing both sides by 3:
x = 5
Now substitute the value of x back into one of the original equations to solve for y. Using the second equation:
x + y = 14
5 + y = 14
Subtracting 5 from both sides:
y = 9
Therefore, the solution to the system of equations is x = 5 and y = 9.