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Which is a solution to the system of equations? x + 3y = 18 x + 2y = 14 A) (6, 4) B) (4, 6) C) (6, -4) D) (-4, 6)

Which is a solution to the system of equations? x + 3y = 18 x + 2y = 14 A) (6, 4) B) (4, 6) C) (6, -4) D) (-4, 6)
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1 vote
Which is a solution to the system of equations?

x + 3y = 18
x + 2y = 14

A) (6, 4)
B) (4, 6)
C) (6, -4)
D) (-4, 6)

User Matt Eckert
by
7.9k points

2 Answers

3 votes

Answer:

A (6,4)

Explanation:

User Alphanumeric
by
7.6k points
6 votes
A.
Eqn 1 - Eqn 2:
x + 3y - (x + 2y) = 18 - 14
x + 3y - x - 2y = 4
y = 4

Substitute y = 4 into Eqn 1 (You can also do this with Eqn 2 instead)
x + 3(4) = 18
x = 6

Thus, (6,4)

User Gael Varoquaux
by
7.9k points
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