Question

Which ordered pairs are solutions to the equation 6x+14y=12 ?

Answer 1

By ordered pairs, I'm assuming you mean coordinate points for x and y intercepts.

That means the y intercept is (0,6/7)

That means the x intercept is (2,0)

Explanation:

To get the x intercept lets plug in 0 for y.

So we get 6x + 14(0) = 12.

6x = 12.

x = 2.

That means the x intercept is (2,0)

To get they intercept lets plug in 0 for x.

So we get 6(0) + 14y = 12.

14y = 12.

y = 6/7.

That means the y intercept is (0,6/7)

Answer 2

none of the above

Explanation:

To determine if a given ordered pair is a solution, we should substitute the x- and y-values from each ordered pair into the equation and determine if the result is true.

(−8,−2):

x=−8,y6x+14y6(−8)+14(−2)−48−28−76=−2=12=?12=?12≠12

It follows that (−8,−2) is not a solution.

(8,2):

x=8,y6x+14y6(8)+14(2)48+2876=2=12=?12=?12≠12

It follows that (8,2) is not a solution.

(5,−6):

x=5,y6x+14y6(5)+14(−6)30−84−54=−6=12=?12=?12≠12

It follows that (5,−6) is not a solution.

(0,4):

x=0,y6x+14y6(0)+14(4)5656=4=12=?12=?12≠12

It follows that (0,4) is not a solution.

So the correct answer is none of the above.