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Select ALL statements that are true.

2x+8y=12

1/2x+3y=6


Question 5 options:

(6,1) makes the first equation true (an identity) and the second equation false (not an identity). It is NOT a solution to the system.


(6,1) makes the first equation false (not an identity) and the second equation true (an identity). It is NOT a solution to the system.


(6,1) makes both the first equation and the second equation true (an identity). It IS a solution to the system.


(-6,3) makes the first equation false (not an identity) and the second equation true (an identity). It is NOT a solution to the system.


(-6,3) makes the first equation false (not an identity) and the second equation true (an identity). It is NOT a solution to the system.


(-6,3) makes both the first equation and the second equation true (an identity). It IS a solution to the system.

User Norlesh
by
8.3k points

1 Answer

5 votes

Answer:

  • (6,1) makes the first equation false (not an identity) and the second equation true (an identity). It is NOT a solution to the system.
  • (-6,3) makes both the first equation and the second equation true (an identity). It IS a solution to the system.

Explanation:

Consider an ordered pair
(x,y) and when the values of
x and
y are substituted into an equation. If the result is a true statement, then it makes the equation true. Otherwise, it makes the equation false.

For the pair to be a solution to the system, the ordered pair must make both equations true.

User Toan Nguyen
by
8.1k points

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