Question

Two equations are given. m + 5n = 20

m = n-4

What is the solution to the set of equations in the form (m, n)?

A (3,7)
B (0,4)
C (5, 1)
D (2,6)

Please help

Answer 1

B. (0, 4)

Explanation:

so we need to find the value of m and n, and luckily we have 2 equations that'll help. (I'm going to use the substitution method for this instead of the Elimination method because I am lazy)

first we need to solve for m, but we already have an equation that tells us what m is equal to, m = n - 4.

now we just need to plug in our new m into the other equation and solve for n. (we are using m + 5n = 20 for that)

so now we get

(n - 4) + 5n = 20

so we solve for n

n + 5n = 24

6n = 24

n = 4

now that we know that n is 4, we can plug that into our m equation (m = n - 4)

m = 4 - 4

m = 0

now we have our m and n, and we can make our ordered pair.

(m, n)

(0, 4)