Question

Which describes the system of equations below?

y = –3x − 7
y
=
–5
6
x
+
7
3

Answer 1

Very hard to understand an equation written vertically, so much so, that I don't want to take the effort to respond.

Answer 2

try again, typing fractions normally, such as 2/3 or 3/4, rather than using newlines.

Answer 3

[AI-generated answer — Explain Bot]

The given system of equations is:

y = -3x - 7

(y + 5) / 6 = (x + 7) / 3

To determine the description of this system of equations, we need to analyze the equations and look for similarities or differences in their form.

The first equation is in slope-intercept form y = mx + b, where m is the slope (-3) and b is the y-intercept (-7). This equation represents a linear function.

The second equation is in a slightly different form, but we can rewrite it in slope-intercept form by cross-multiplying:

3(y + 5) = 6(x + 7)
3y + 15 = 6x + 42
3y = 6x + 27
y = 2x + 9

The second equation is also in slope-intercept form, now with a different slope (2) and y-intercept (9). Similarly, it represents a linear function.

By comparing the equations, we can see that they are different, which means the system of equations is inconsistent. In other words, there is no solution that satisfies both equations simultaneously. The lines represented by these equations are parallel and will never intersect.

Therefore, the system of equations is inconsistent.