Question

Which ordered pair is a solution of the equation?

y = -7x + 2

(1,2)
(8,-54)
(5, -35)
(1,-7)

Answer 1

(8,-54) is the answer

Answer 2

The second ordered pair (8, -54) is a solution of the equation.

Explanation:

The first thing to take into account is that the first number in the parenthesis refers to a x value and the second number in the parenthesis refers to the related y value. It is
`(x,\, y)`.

For example, consider the function
`f(x)=2x`.

When
`x` equals 2,
`y` equals 4. It means that the ordered pair is
`(2,\, 4)`

Now, you must evaluate each ordered pair to find which one fits the equation
`y=-7x+2`

• (1, 2): the x value is 1

`y=-7\cdot (1)+2=-7+2=-5`

The second number in (1, 2) must be -5. As it is not, this option is incorrect.

• (8, -54): the x value is 8

`y=-7\cdot (8)+2=-56+2=-54`

As the second number in (8, -54) is -54, this option is CORRECT.

• (5, -35): the x value is 5

`y=-7\cdot (5)+2=-35+2=-33`

The second number in (5, -35) must be -33. As it is not, this option is incorrect.

• (1, 7): the x value is 1

`y=-7\cdot (1)+2=-7+2=-5`

The second number in (1, -7) must be -5. As it is not, this option is incorrect.

Thus, the second ordered pair (8, -54) is a solution of the equation.