What is the solution to the system of equations?y=13x−102x+y=4Responses(−6, 16)negative 6 comma 16(−8, 6)negative 8 comma 6(16,−6)16 comma negative 6(6,−8)
Question
What is the solution to the system of equations?
Given the equations:
Responses:
- (−6, 16)
- (−8, 6)
- (16, −6)
- (6, −8)
Solution
To solve the system of equations, we can use substitution or elimination. Here, we'll use substitution since one equation is already solved for y.
The system of equations is:
- y = 13x - 10
- 2x + y = 4
Substitute equation 1 into equation 2:
2x + (13x - 10) = 4 15x - 10 = 4 15x = 14 x = 14/15
Substitute x = 14/15 into equation 1:
y = 13*(14/15) - 10 y = 182/15 - 150/15 y = 32/15
So, the solution to the system of equations is x = 14/15 and y = 32/15. This solution is not listed in the provided options. Please check the problem again.
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