How many solution(s) does the system of equations have?
−5x+y=−18
10x−2y=36
Responses
one
one - incorrect
infinite
infinite - not selected, this is the correct answer
two
two - no response given
none
show your work
To find the number of solutions for the system of equations, we can check if the lines represented by the equations are parallel, coincident, or intersecting.
The first equation can be rewritten as y = 5x - 18.
The second equation can be rewritten as y = 5x - 18.
Since both equations represent the same line (they have the same slope and y-intercept), they are coincident lines.
Therefore, the system of equations has an infinite number of solutions.