3x+6=y and y=-1/3x-4

Question

one solution
infinite solutions
no solutions

Answer 1

One solution. By substituting the second equation into the first equation, we get:

3x + 6 = -1/3x - 4
Multiplying by 3 to get rid of the fraction:
9x + 18 = -x - 12
Adding x and 12 to both sides:
10x = -30
Dividing by 10:
x = -3

Now we can substitute x back into either equation to solve for y:
y = -1/3(-3) - 4
y = 1 - 4
y = -3

Therefore, the solution is x = -3 and y = -3.