Question

Determine the number of solutions to this system of linear equations:
y=7x−3
𝑦
=
7
𝑥
−
3

y=7x+3
𝑦
=
7
𝑥
+
3

Answer 1

Set the right-hand sides equal: 7x − 3 = 7x + 3. Subtract 7x from both sides to get −3 = 3, which is false.

Thus the system is inconsistent and has 0 solutions (two parallel lines with the same slope 7 and different y‑intercepts).