asked 103k views
2 votes
Which of the following ordered pairs represents the solution to the system given below?

x − 3y = 12
2x + 6y = 60

(0, −4)
(12, 0)
(3, 21)
(21, 3)

asked
User Jorell
by
8.3k points

2 Answers

4 votes

Answer:

(21,3)

Hope this helped :)

answered
User Jeff Holliday
by
8.3k points
4 votes
If you would like to solve the system of equations, you can do this using the following steps:

x - 3y = 12 ... x = 12 + 3y
2x + 6y = 60
__________
2x + 6y = 60
2 * (12 + 3y) + 6y = 60
24 + 6y + 6y = 60
12y = 60 - 24
12y = 36
y = 36/12
y = 3

x = 12 + 3y = 12 + 3 * 3 = 12 + 9 = 21

(x, y) = (21, 3)

The correct result would be (21, 3).

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