Consider the system of linear equations.
2y = x + 10
3y = 3x + 15
which statements about the system are true? check all
that apply
the system has one solution.
the system graphs parallel lines.
both lines have the same slope.
both lines have the same y-intercept.
the equations graph the same line.
the solution is the intersection of the 2 lines.

The system has one solution

Both lines have the same y-intercept

The solution is the intersection of the 2 lines

Step-by-step explanation:

we have

isolate the variable y

----> equation A

isolate the variable y

----> equation B

we have two lines with different slopes and equal y-intercepts

so

The solution is the intersection point both graphs

The intersection point is the y-intercept

so

The solution is the point (0,5)

Verify each statement

1) The system has one solution

The statement is true

The solution is the point (0,5)

2) The system graphs parallel lines

The statement is false

The lines are not parallel, because the slopes are different

3) Both lines have the same slope

The statement is false

The slopes are different. the slope of line A is m=1\2 and the slope of line B is m=1

4) Both lines have the same y-intercept

The statement is true

The y-intercept b=5

5) The equations graph the same line

The statement is false

Because the lines are different

6) The solution is the intersection of the 2 lines

The statement is true

answer: approximately 206 bones

i hope this u out a branlist and a would be greatly appreciated :

hi there!

the answer will be d: 2