−5x+y=−18
10x−2y=36
To solve this system of equations, we can use either the substitution method or the elimination method.
Let's first use the substitution method:
From the first equation, we can isolate y:
y = 5x - 18
Now we can substitute this expression for y into the second equation:
10x - 2(5x - 18) = 36
10x - 10x + 36 = 36
36 = 36
This equation is true, meaning that the system of equations has infinitely many solutions. The two equations are therefore dependent, and represent the same line when graphed.