Answer:
Option (c) is correct.
The other equation of system is x+ y = 8
Step-by-step explanation:
Given : Line Q is represented by the following equation: 2x + y = 11
We have to find an equation completes the system that is satisfied by the solution (3, 5) .
Since, given (3,5) satisfies the system of equations.
So, (3,5) must satisfies both equation of systems.
For other equation
Put x = 3 and y = 5 i each and check which satisfies the equation.
1) x + 2y = 15
LHS = 3 + 2(5) = 3 + 10 = 13 ≠ RHS.
2) x+ y = 15
LHS = 3 + 5 = 8 ≠ RHS.
3) x + y = 8
LHS = 3 + 5 = 8 = RHS.
4) x - y = 2
LHS = 3 - 5 = -2 ≠ RHS.
Thus, Only equation (3) satisfies the point (3,5).
Thus, The other equation is x+ y = 8
