Determine how many solutions exist for this system of equations: −6x−2y=10y=−3x−5 A Infinitely many solutions B Two solutions C

Question

miss Akunina [59]

3 years ago

9

Determine how many solutions exist for this system of equations: −6x−2y=10y=−3x−5 A Infinitely many solutions B Two solutions C

One solution D No solution

Mathematics

1 answer:

Firdavs [7] · Answer 1 · 2022-08-25T23:21:21+03:00

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.