Question

Use the substitution method or the elimination method to solve the system. 8x−y=−15

y=−8x
​
What is the solution of the system? Select the correct choice below and, if necessary, fill in the answer box to complefe your choice. A. The solution set is (− 16
15
​
, 2
15
​
)] (Simplify your answer. Type an ordered pair) B. There are infinitely many solutions of the form (Simplify your answer. Type an ordored pair Type an expression using x as the variable: Use integers or fractions for any numbers in the expresion. c. There is no solution

Answer 1

(-
`(15)/(16)` ,
`(15)/(2)` )

Explanation:

8x - y = = 15 → (1)

y = - 8x → (2)

substitute y = - 8x into (1)

8x - (- 8x) = - 15

8x + 8x = - 15

16x = - 15 ( divide both sides by 16 )

x = -
`(15)/(16)`

substitute this value into (2)

y = - 8 × -
`(15)/(16)` = - 1 × -
`(15)/(2)` =
`(15)/(2)`

solution is ( -
`(15)/(16)` ,
`(15)/(2)` )