Answer with Step-by-step explanation:
We have to find the solution of the system of equations:
2x + y = 5
3y = 15 – 6x which is equivalent to
6x+3y=15
i.e. 3(2x+y)=15 which is equivalent to: 2x+y=5
both the equation are same hence, there are infinite number of solutions
Now, we check which points satisfies the equation and that will be the solution of the equation.
A.(6, –7)
Putting x=6 and y=-7, we get
12-7=5
Hence, (6,-7) is a solution.
B.(2, 1)
Putting x=2 and y=1, we get
4+1=5
Hence,(2,1) is also a solution
C.(–2, –9)
Putting x=-2 and y=-9, we get
-4-9=-13≠5
Hence,(-2,-9) is not a solution
D.(–4, 13)
Putting x=-4 and y=13, we get
-8+13=5
Hence, (-4,13) is a solution