Question

This system of equations is shown on the graph:

2y − 4x = 6
y = 2x + 3


Which statement about the system is true?

A. The system has no solution.
B. The system has a unique solution at (0,3).
C. The system has a unique solution at (1,5).
D. The system has infinitely many solutions.

Answer 1

d

Explanation:

Answer 2

Option (D)

Explanation:

System of equations has been given as,

2y - 4x = 6

y - 2x = 3 [Dividing both sides of the equation by 2]

y = 2x + 3 ------(1) [Slope-intercept for of the equation]

y = 2x + 3 ------(2)

Since, both the equations are same,

System of equations will have infinitely many solutions.

Therefore, Option (D) will be the correct option.