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Irina-Kira [14]

3 years ago

13

Which system of linear inequalities is represented by the graph?

2 answers:

Aloiza [94]3 years ago

6 0

The blue line has a slope of 2 and a y-intercept of +4. Its equation is
y = 2x +4
The shaded area is above the line, so it is the boundary of the inequality
y ≥ 2x + 4

The red dashed line has a slope of -1/3 and a y-intercept of 2. Its equation is
y = -1/3x + 2
The shaded area is above the line, so it is the boundary of the inequality
y > -1/3x + 2
or
x +3y > 6

The graph seems to represent the inequalities
x +3y > 6 and y ≥ 2x +4

Rom4ik [11]3 years ago

3 0

Answer:

So the answer is D

Step-by-step explanation:

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Marat540 [252]

Answer:

No solution

Step-by-step explanation:

<h3>Solving system of linear equations:</h3>

7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

$\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\$

$\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}$

$\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}$

So, the lines are parallel and has no solution

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