what is the best way to solve this system?
2x+8y=6
-5x-20y=-15
(pick one)
One way to solve this system is by using the method of substitution.
We can begin by solving one equation for one variable and substituting it into the other equation.
From the first equation, we can isolate the variable x as follows:
2x + 8y = 6
2x = 6 - 8y
x = (6 - 8y)/2
x = 3 - 4y
Now we substitute this value of x into the second equation:
-5x - 20y = -15
-5(3 - 4y) - 20y = -15
-15 + 20y - 20y = -15
Simplifying the equation:
-15 = -15
This equation is an identity and it tells us that the two equations represent the same line. Thus, the system of equations has infinitely many solutions.
If you were to pick one solution, you could assign any value to y and find the corresponding x value using the equation x = 3 - 4y.