Question

Which is a solution of the equation y = 2x + 5? (1 point)

(5, 20)
(6, 12)
(3, 11)
(4, 14)

Answer 1

(3, 11) is a solution of the equation y = 2x + 5.

Explanation:

Example: determine whether or not (5, 20) satisfies the equation y = 2x + 5:

If we substitutte 5 for x, do we get 20? y = 2(5) + 5 = 15. NO. (5, 20) is not a solution of the equation y = 2x + 5.

Next: Let x = 6. Does y take on the value 12? y = 2(6) + 5 = 17. NO. (6, 12) is not a solution of the equation y = 2x + 5.

Next: Let x = 3. Does y take on the value 11? y = 2(3) + 5 = 11. YES, (3, 11) is a solution of the equation y = 2x + 5.

Answer 2

(3, 11 )

Explanation:

To determine which point is a solution to the equation.

Substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it is a solution.

(5, 20)

y = 2(5) + 5 = 10 + 5 = 15 ≠ 20 ← not a solution

(6, 12)

y = 2(6) + 5 = 12 + 5 = 17 ≠ 12 ← not a solution

(3, 11)

y = 2(3) + 5 = 6 + 5 = 11 ← this is a solution

(4, 14)

y = 2(4) + 5 = 8 + 5 = 13 ← not a solution