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Answer:
(0,4)
Step-by-step explanation:
Because the problem gives you the value of what m would equal in terms of n you would substitute n - 4 for m in the equation above, resulting in:
n - 4 + 5n = 20
6n - 4 = 20
6n = 24
n = 4
Now that you know n = 4, you already can see that the answer would be (0,4), however to check you can substitute 4 for n into the second equation.
m = 4 - 4
m = 0
Because this results in m = 0, that tells you that (0,4) is the right answer.
Answer:
(0, 4)
Step-by-step explanation:
So you can solve the equation by substitution. The solution of a systems of equations, is when they both intersect, or when the (x, y) values are exactly equal, which is why I can substitute the m of the second equation into the first equation, because I'm looking for when they're equal, and that is when m is going to be equal in both equations, as well as the n value.
original equation:
m + 5n = 20
substitute n-4 as m in the equation
(n-4) + 5n = 20
simplify:
6n-4 = 20
add 4 to both equations
6n = 24
divide both sides by 6
n = 4
Now to find m, simply substitute 4 as n in either equation:
Original equation:
m = n - 4
substitute 4 as n
m = 4-4
m=0
so m=0, and n=4, so the solution in the form (m, n) = (0, 4)