Question

Which of the following is a solution to the equation: y = 7x + -59? Choose all that apply.

Select all that apply:
O (8,-3)
O (9,8)
O (7,-3)
0 (10,5)

Answer 1

`(a)\ (8,-3)`

Explanation:

Given

`y =7x +-59`

Required

Select all solutions

`(a)\ (8,-3)`

This implies that:

`x = 8; y=-3`

So:

`y =7x +-59`

`-3 =7 * 8 + -59`

`-3 =7 * 8 -59`

`-3 =56 -59`

`-3 =-3`

The above is a solution:

`(b)\ (9,8)`

This implies that:

`x=9\ y =8`

So:

`y =7x +-59`

`8 =7 * 9 + -59`

`8 =7 * 9 -59`

`8 =63 -59`

`8 =4`

The above is not a solution because
`8 \\e 4`

`(c)\ (7,-3)`

This implies that:

`x=7;\ y=-3`

So:

`y =7x +-59`

`-3 = 7 * 7 +-59`

`-3 = 7 * 7 -59`

`-3 = 49 -59`

`-3 = -10`

The above is not a solution because
`-3\\e -10`

`(d)\ (10,5)`

This implies that:

`x =10; y=5`

So:

`y =7x +-59`

`5 = 7 * 10 + -59`

`5 = 7 * 10 -59`

`5 = 70 -59`

`5 = 11`

The above is not a solution because
`5 \\e 11`