Question

Find the missing coordinates to complete the following​ ordered-pair solutions to the given linear equation.

y+7x=7


​(a) (−2, )

​(b) (3, )

Answer 1

Hi there! The solutions are (-2, 21) and (3, 14)

a. The x-coordinate is given, x = - 2
Filling in this value gives us the following:

y + 7 * - 2 = 7
y - 14 = 7
Now add 14 to both sides
y = 21

Hence, (-2, 21)

b. The x-coordinate is given, x = 3
Filling in this value gives us the following:

y + 7 * 3 = 7
y + 21 = 7
Now subtract 21 from both sides
y = -14

Hence, (3, 14)