Which of the following is a solution of 4x + 2y ≤ 6?
a. (0, 4)
b. (5, 0)
c. (5, 7)
d. (1, 0)

D. (1,0)

Step-by-step explanation:

Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.

Lets go through all of the possible answers:

A. (0,4)

4(0) + 2(4) ≤ 6

0 + 8 ≤ 6

8 ≤ 6

This is false.  8 is not less than or equal to 6.

B. (5,0)

4(5) + 2(0) ≤ 6

20 + 0 ≤ 6

20 ≤  6

This is false.  20 is not less than or equal to 6.

C. (5,7)

4(5) + 2(7) ≤ 6

20 + 14 ≤ 6

34 ≤ 6

This is false because 35 is not less than or equal to 6

D. (1,0)

4(1) + 2(0) ≤ 6

4 + 0 ≤ 6

4  ≤ 6

This is true, because 4 is less than 6.  

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step-by-step explanation:

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- (2, -7)

- lines r and s and lines t and u must be parallel