Question

Choose the system for the graph.
(2x + 3y = 12
a)
13x - 5y < 15
(2x + 3y = 12
b)
13x - 5y = 15
(2x + 3y = 12
C
(3x - 5y > 15
(2x + 3y > 12
d)
(3x - 5y = 15
1

Answer 1

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is c.

What is a System of equations?

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The system of equations that will graph the shown graph will be,

• 2x+3y≥12
• 3x-5y≥15

Hence, the correct option is c.

Learn more about the System of equations:

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