Question

4. which ordered pair is a solution of the equation y=5x?

a. (-2,10)
b. (-5, 25)
c. (-3,15)
d. (-2, -10)

Answer 1

Plug the ordered pairs into the equation. The first number represents x, the second number y. The answer is D. -10=5(-2)

Answer 2

The answer is d.
`(-2,-10)`

Explanation:

In order to determine which ordered pair is a solution of the equation, we have to understand that if we replace the variables into values, the equality must remain. The first value of the ordered pair represents the "x" variable and the second value represents the "y" variable.

So, for every option:

a)

`x=-2\\y=10\\\\y=5*x\\10=5*(-2)\\10=-10`

There is NOT equality

b)

`x=-5\\y=25\\\\y=5*x\\25=5*(-5)\\25=-25`

There is NOT equality

c)

`x=-3\\y=15\\\\y=5*x\\15=5*(-3)\\15=-15`

There is NOT equality

d)

`x=-2\\y=-10\\\\y=5*x\\-10=5*(-2)\\-10=-10`

There is equality

Finally, the only ordered pair that fulfill the equality is
`(-2,-10)`