Answer :
Answer: option A is the correct answer.
Step-by-step explanation:
The given system of equations is expressed as
- 6x - 2y = 10 - - - - - - - - - - - - - - - -1
y = - 3x - 5 - - - - - - - - - - - - - - - -2
We would apply the method of substitution by substituting equation 2 into equation 1. It becomes
- 6x - 2(- 3x - 5) = 10
- 6x + 6x + 10 = 10
10 = 10
Therefore, the given system of equations has infinitely many solutions because we have the same constants on both sides of the equation. If we take any value of x and y that satisfies one of the equations, they would also satisfy the other equation.