Question

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Answer 1

ANSWER

D. (-2,5)


Step-by-step explanation

The given equations are


`8x + 5y = 9...(1)`

and


`y = x + 7...(2)`


We substitute equation (2) into equation (1) to get,


`8x + 5(x + 7) = 9`


We expand the bracket to get,



`8x + 5x + 35 = 9`

Grouping similar terms, we obtain,



`8x + 5x = 9 - 35`

Simplify to get,

`13x = - 26`

Divide both sides by 13 to obtain,



`x = - (26)/(13)`



`x = - 2`



This implies that,



`y = - 2 + 7`


`y = 5`

The solution is (-2,5)