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number of solutions:

y = 7x - 3
y = 7x + 3

1 answer

To determine the number of solutions for the system of equations given by:

  1. \( y = 7x - 3 \)
  2. \( y = 7x + 3 \)

we can analyze the equations.

Both equations are in the slope-intercept form \( y = mx + b \) where \( m \) represents the slope and \( b \) represents the y-intercept.

  1. The first equation has a slope of 7 and a y-intercept of -3.
  2. The second equation also has a slope of 7 but a y-intercept of 3.

Since both lines have the same slope (7), they are parallel. Parallel lines never intersect, which means they do not have any solutions in common.

Thus, the number of solutions for this system of equations is:

0 solutions.