Question
Us elimination to find the solution of the system:
2x+y=10
-2x+3y=6
(4, 4)
(1, -3)
(3, 4)
No Solution
2x+y=10
-2x+3y=6
(4, 4)
(1, -3)
(3, 4)
No Solution
Answers
Answered by
GPT 3.5
Let's use elimination to solve the system of equations.
1. Multiply the first equation by 2 to make the x coefficients cancel out:
4x + 2y = 20
2. Add the two equations together:
4x + 2y + (-2x + 3y) = 20 + 6
2y + 3y = 26
5y = 26
y = 5.2
3. Substitute the value of y back into the first equation:
2x + 5.2 = 10
2x = 4.8
x = 2.4
Therefore, the solution to the system of equations is (2.4, 5.2).
None of the given options match this solution, so there is no solution among the provided choices.
1. Multiply the first equation by 2 to make the x coefficients cancel out:
4x + 2y = 20
2. Add the two equations together:
4x + 2y + (-2x + 3y) = 20 + 6
2y + 3y = 26
5y = 26
y = 5.2
3. Substitute the value of y back into the first equation:
2x + 5.2 = 10
2x = 4.8
x = 2.4
Therefore, the solution to the system of equations is (2.4, 5.2).
None of the given options match this solution, so there is no solution among the provided choices.