Question

. Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Choose all answers that are correct.
A. (−6, −14)
B. (−1, −7)
C. (4, 10)
D. (7, 9)

Answer 1

It is the answer is (-6, -14) and also (-1,-7) so it is A and B

Explanation:

I did the test.

Answer 2

we know that

If a ordered pair (x,y) is a solution of the equation, then the ordered pair must satisfy the equation

we have the equation

`7x-5y=28`

Let's verify all the cases to determine the solution to the problem.

case A) point
`(-6,-14)`

Substitute the values of x and y in the equation

`x=-6\\y=-14`

`7(-6)-5(-14)=28`

`-42+70=28`

`28=28` -------> is true

therefore

The point
`(-6,-14)` is a solution of the equation

case B) point
`(-1,-7)`

Substitute the values of x and y in the equation

`x=-1\\y=-7`

`7(-1)-5(-7)=28`

`-7+35=28`

`28=28` -------> is true

therefore

The point
`(-1,-7)` is a solution of the equation

case C) point
`(4,10)`

Substitute the values of x and y in the equation

`x=4\\y=10`

`7(4)-5(10)=28`

`28-50=28`

`-22=28` -------> is not true

therefore

The point
`(4,10)` is not a solution of the equation

case D) point
`(7,9)`

Substitute the values of x and y in the equation

`x=7\\y=9`

`7(7)-5(9)=28`

`49-45=28`

`4=28` -------> is not true

therefore

The point
`(7,9)` is not a solution of the equation

therefore

the answer is

`(-6,-14)`

`(-1,-7)`