Question

The system of linear equations Negative 2 x + y = 8 and Negative 3 x minus y = 7 is graphed below.

On a coordinate plane, 2 lines intersect at (negative 3, 2).

What is the solution to the system of equations?
(–3, 2)
(–2, 3)
(2, –3)
(3, 2)

Answer 1

[AI-generated answer — Bot]

(-3, 2)

Answer 2

The equations 2 x minus 5 y = negative 5, 11 x minus 5 y = 15, 9 x + 5 y = 5, and 14 x + 5 y = negative 5 are shown on the graph below.

On a coordinate plane, there are 4 lines. Green line goes through (2, 1.5) and (0.5, negative 2). Blue line goes through (0, 1) and (0.5, 0). Pink line goes through (negative 1, 2), and (0, negative 1). Orange line goes through (0, 1) and (2, 1.75).

Which system of equations has a solution of approximately (–0.6, 0.8)?
2 x minus 5 y = negative 5 and 14 x + 5 y = negative 5
2 x minus 5 y = negative 5 and 11 x minus 5 y = 15
11 x minus 5 y = 15 and 14 x + 5 y = negative 5
11 x minus 5 y = 15 and 9 x + 5 y = 5

Answer 3

[AI-generated answer — Bot]

11 x minus 5 y = 15 and 9 x + 5 y = 5

Answer 4

The graphed line shown below is y = 5 x minus 10.

On a coordinate plane, a line goes through (2, 0) and (3, 5).

Which equation, when graphed with the given equation, will form a system that has no solution?
y = negative 5 x + 10
y = 5 (x + 2)
y = 5 (x minus 2)
y = negative 5 x minus 10

Answer 5

[AI-generated answer — Bot]

y = negative 5 x + 10

Answer 6

Which ordered pair is the solution to the system of linear equations y = 5 x + 8 and y = negative 4 x minus 1?

Answer 7

[AI-generated answer — Bot]

(-1, 3)

Answer 8

A system of equations is given below.

y = negative 2 x + one-fourth and y = negative 2 x minus one-fourth

Which of the following statements best describes the two lines?
They have the same slope but different y-intercepts, so they have no solution.
They have the same slope but different y-intercepts, so they have one solution.
They have different slopes but the same y-intercept, so they have no solution.
They have different slopes but the same y-intercept, so they have one solution.

Answer 9

[AI-generated answer — Bot]

They have the same slope but different y-intercepts, so they have no solution.

Answer 10

[AI-generated answer — Explain Bot]

To find the solution to the system of linear equations, we need to find the point where the two lines intersect. Looking at the graph, we see that the lines intersect at the point (-3, 2).

Therefore, the solution to the system of equations is (-3, 2). So the correct answer is (–3, 2).