Question

Which of the following is a solution to the equation "y=3x-1"

A)(4,1)
B) (2,5)
C)(4,3)
D) (0,-3)

Answer 1

The answer is B, 3x2=6, 6-1=5, therefore x Is 2 and y is 5

Answer 2

we have

`y=3x-1`

we know that

If the point is an equation solution, it must satisfy the equation.

case a)
`(4,1)`

Substitute the values of x and y in the equation

`1=3*4-1`

`1=12-1`

`1\\eq11` -------> the point is not solution of the equation

case b)
`(2,5)`

Substitute the values of x and y in the equation

`5=3*2-1`

`5=6-1`

`5=5` -------> the point is solution of the equation

case c)
`(4,3)`

Substitute the values of x and y in the equation

`3=3*4-1`

`3=12-1`

`3\\eq11` -------> the point is not solution of the equation

case d)
`(0,-3)`

Substitute the values of x and y in the equation

`-3=3*0-1`

`-3\\eq-1` -------> the point is not solution of the equation

therefore

the answer is

The point
`(2,5)` is solution of the equation