Question

determine the number of solutions for the following system and w
$x = 7 + y$
$3x - 3y = 1$

Explanation:

Step1: Substitute $x$ into second equation

Substitute $x = 7 + y$ into $3x - 3y = 1$:
$3(7 + y) - 3y = 1$

Step2: Simplify the left-hand side

Expand and combine like terms:
$21 + 3y - 3y = 1$
$21 = 1$

Answer:

This is a false statement, so the system has 0 solutions (no solution, the two lines are parallel and never intersect).