Question

Which ordered pair is a solution of equation y = 5x

Answer 1

Option d. (-2, -10)

Step-by-step explanation:

The complete question is

Which ordered pair is a solution of the equation y=5x?

a. (-2,10)

b. (-5, 25)

c. (-3,15)

d. (-2, -10)

we know that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

we have

`y=5x`

Verify each case

Substitute the value of x and the value of y in the linear equation and then compare the results

case a) we have

(-2,10)

For x=-2, y=10

substitute

`10=5(-2)`

`10=-10` ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not a solution

case b) we have

(-5,25)

For x=-5, y=25

substitute

`25=5(-5)`

`25=-25` ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not a solution

case c) we have

(-3,15)

For x=-3, y=15

substitute

`15=5(-3)`

`15=-15` ----> is not true

The ordered pair not satisfy the equation

therefore

The ordered pair is not a solution

case d) we have

(-2,-10)

For x=-2, y=-10

substitute

`-10=5(-2)`

`-10=-10` ----> is true

The ordered pair satisfy the equation

therefore

The ordered pair is a solution