188k views
2 votes
Solve the system of equations using substitution.

4x – y = 7
3y – 12x = –21

(3, 5)

(6, 17)

no solution

infinite solutions

User Uedemir
by
5.7k points

2 Answers

4 votes

Answer:

infinite soulutions

Explanation:

i just did it and it was right on ed2021...

User Sromku
by
5.5k points
1 vote

Answer:

infinitely many solutions

Explanation:

solve by substitution:

solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x

Substitute - 7 + 4x into the second equation to obtain:

3(-7 + 4x) - 12x = -21, which yields:

-21 + 12x - 12x = -21, which simplifies 0 = 0

a result of 0 = 0 means infinite solutions such as:

(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....

User Gnu Engineer
by
5.2k points
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