consider the following systems of equations y=3x-7 y-3x=5 what can you conclude about the system of equations

1 answer:

7 0

Take the second equation [ y - 3x= 5 ] and add 3x to each side: [ y = 3x + 5 ].

Now you can see that the graphs of both equations have the same slopes.
This tells you clearly that their graphs are parallel lines which never intersect.
Therefore, the 'system' of equations has no solution.

You might be interested in

What system of equations is shown on the graph?

lakkis [162]

Blue: y = 1/2x - 2
Orange: y = -2x - 4

Answer:
B) x - 2y = 4 and 2x + y = -4

8 0

3 years ago

Pleaseeeeeee helppppppp meeeeeeeeee

Bad White [126]

1. 256
2. 7^7
3. 46,629
4. 16,649
5. 5^4

7 0

3 years ago

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3, 5) and B(5, 1). Find the equation of the line that

andreyandreev [35.5K]

Answer:

2x + y = 16

Step-by-step explanation:

In rectangle side AB and side CD are parallel, so the slope of both the lines will be same it means that they are parallel to each other.

slope of line AB:

$\textrm{m}=\frac{\textrm{y}_{A}-\textrm{y}_{B}}{\textrm{x}_{A}-\textrm{x}_{B}}\\\textrm{m}=\frac{5-1}{3-5}=\frac{4}{-2}=-2\\\therefore \textrm{m}=-2$