To find the number of solutions for this system of equations, we can use the method of elimination or substitution.
Let's solve using the method of elimination:
Multiply the first equation by 2 to eliminate the y terms:
-10x + 2y = -36
Now, add the two equations together:
(10x - 2y) + (-10x + 2y) = 36 + (-36)
0 = 0
The result is 0 = 0. This equation is always true, indicating that the two original equations are dependent. This means that they represent the same line and there are infinitely many solutions.
How many solutions does the system of equations have?
-5x+y=-18
10x-2y=36
1 answer
1 answer