The point (22, 0) lies on the line -x – 8y = -22. Determine if this point is a solution of the system -x – 8y = -22 -7x + 3y = -36?

2 Answers

Oddman Profile
Oddman answered
We are told that the given point satisfies the first equation of the system (and it does). If it is a solution, it will also satisfy the second equation. Let's see
  -7(22) + 3(0) = -36
  -154 = -36    (false)

The given point is NOT a solution.
John McCann Profile
John McCann answered
- 7(- X - 8Y = - 22)
- 7X + 3Y = - 36
------

7X + 56Y = 154
- 7X + 3Y = - 36
------+

59Y = 118

Y = 2
------

- X - 8(2) = - 22

- X - 16 = - 22

- X = - 6

X = 6
------check

- (6) - 8(2) = - 22

- 22 = - 22
------check two

- 7(6) + 3(2) = - 36

- 36 = - 36

I do not think the conditions were met, but Oddman needs to comment here.

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