Question

Determine the number of solutions to this system of linear equations (0, 1, ∞)
:
y=3x−7

y=−2x+5
(1 point)
This system of linear equations has
solution(s).

Answer 1

1

They intersect at one point. Solving 3x−7 = −2x+5 gives 5x = 12, x = 12/5, and y = 3(12/5) − 7 = 1/5, so the solution is (12/5, 1/5).