167k views
7 votes
True or False

The system of equations shown below has only one
solution.
near
y=2x+6
y=-x+5
5 and
А
True
B
False

Pleaseee helppppp

User Diezsiete
by
5.8k points

1 Answer

12 votes

Answer: True

Step-by-step explanation:

The slopes of y = 2x+6 and y = -x+5 are m = 2 and m = -1 respectively.

Refer to the y = mx+b form.

Since the slopes are different, this means that the lines aren't parallel and they don't overlap perfectly either. The lines instead form some kind of X shape to cross at exactly one point. This intersection point is the single solution to the system of equations.

User Lunatic
by
6.3k points