Question

Consider the system of linear equations.

2y = x + 10
3y = 3x + 15
Which statements about the system are true? Check a
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.
Nhe equations graph the same line.
The solution is the intersection of the 2 lines.

Answer 1

its A,D,F

Explanation:

Answer 2

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Explanation:

Lines are

• 
  `2y=x +10`

slope = 0.5

y intercept(put x =0) =5

• 
  `3y =3x +15`

slope = 1

y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of point of intersection of line on graph will come.