Question

Which ordered pair is a solution to this equation? 2x + 3y = 16

(11, 1)

(7, 2)

(3, 2)

(5, 2)

Answer 1

4) (5, 2)

Explanation:

We should go through each of the coordinate pairs and substitute them into the line's equation. If the coordinate pair we checked satisfies the equation, it means the line passes through that point (which also means it's a solution to the equation).

1) (11, 1):
`2*11+3*1 \to 22 + 3\to25 \\e 16`
It is not equal to 16, therefore, it does not satisfy the equation.

2) (7, 2):
`2*7+3*2\to14+6\to20 \\e 16`
It is not equal to 16, therefore, it does not satisfy the equation.

3) (3, 2):
`2*3+3*2\to6+6\to12 \\e 16`
It is not equal to 16, therefore, it does not satisfy the equation.

4) (5, 2):
`2*5+3*2\to10+6\to16=16`
It is equal to 16, therefore, it does satisfy the equation.

Answer 2

(5, 2)

Explanation:

2(5) + 3(2) = 16

10 + 6 = 16

16 = 16

Hope this helps