Question

Which ordered pair is a solution of the equation?

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

(8,-54) is the answer