How many solutions does this system of equations have y3x-7 y-3x-6?

Answer 1

To determine the number of solutions for the system of equations given by ( y = 3x - 7 ) and ( y = -3x - 6 ), we can set the two equations equal to each other:

[ 3x - 7 = -3x - 6. ]

Solving this equation yields ( x = \frac{1}{6} ). Substituting this value back into either equation will give a corresponding ( y )-value, indicating that the system has exactly one solution, which is the point of intersection of the two lines.