is there no solution, infinite solutions, or one solution to the following system of equations?

Question

y = 3x + 6
y = -13x - 4

Answer 1

To find the solution to the system of equations, we can set the two equations equal to each other:

3x + 6 = -13x - 4

We can then combine like terms:

16x = -10

Divide both sides of the equation by 16:

x = -10/16

Now we can substitute this value of x back into either equation to find the corresponding value of y. Using the first equation:

y = 3(-10/16) + 6
y = -30/16 + 6
y = -30/16 + 96/16
y = 66/16

Therefore, the system of equations has one solution.