Question

Question three (1 point)

3) Which ordered pair in the form (x, y) is a solution of this equation?
7x - 5y = 1

A. (-3, -2)

B. (-2, -3)

C. (0,4)

D. (4,0)

Answer 1

B.
`(-2,-3)`

Explanation:

we know that

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

In this problem we have

`7x-5y=1`

verify each case

case A)
`(-3,-2)`

substitute the value of x and the value of y in the linear equation and then compare

`7(-3)-5(-2)=1`

`-11=1` -----> is not true

therefore

The ordered pair case A) is not a solution

case B)
`(-2,-3)`

substitute the value of x and the value of y in the linear equation and then compare

`7(-2)-5(-3)=1`

`1=1` -----> is true

therefore

The ordered pair case B) is a solution

case C)
`(0,4)`

substitute the value of x and the value of y in the linear equation and then compare

`7(0)-5(4)=1`

`-20=1` -----> is not true

therefore

The ordered pair case C) is not a solution

case D)
`(4,0)`

substitute the value of x and the value of y in the linear equation and then compare

`7(4)-5(0)=1`

`28=1` -----> is not true

therefore

The ordered pair case D) is not a solution