Question

Determine the number of solutions to this system of linear equations (0, 1, ∞0):
y = 3x - 7
y=-2x + 5 (1 point)
This system of linear equations has solution(s).

Answer 1

One solution. The lines have different slopes (3 and −2), so they intersect once. Solving 3x − 7 = −2x + 5 gives 5x = 12, x = 12/5, and y = 1/5. So the solution is (12/5, 1/5).