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 \square solution(s).
check answer remaining attempts : 3

Explanation:

Step1: Analyze slopes of lines

The first equation \( y = 3x - 7 \) has a slope \( m_1 = 3 \). The second equation \( y = -2x + 5 \) has a slope \( m_2 = -2 \). Since \( m_1
eq m_2 \), the lines are not parallel.

Step2: Determine intersection

Non - parallel lines in a plane (for linear equations in two variables) intersect at exactly one point. So the system of linear equations has one solution.

Answer:

1