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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

User Clinkz
by
8.2k points

1 Answer

3 votes

Answer:

(-
(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) )

User Jonas Bojesen
by
7.1k points