The system shown is _.

A.) consistent
B.) inconsistent
C.) equivalent

The system shown is consistent ⇒ A

Step-by-step explanation:

A consistent system of equations has at least one solution

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

From the given graph

∵ The two lines intersected at one point

∴ This point lies on the two lines

→ That means this point satisfies the equations of the lines

∴ The system of equations represented by the two lines has 1 solution

→ By using rule 3 above

∴ The system shown is consistent

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

.

step-by-step explanation:

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