Determine the equivalent system for the given system of equations.4x - 5y = 23x - y = 8
Accepted Solution
A:
Answer:4x β 5y = 213x β 8y = 26Step-by-step explanation:The equivalent system must have the same solution as the given system of equations:4x β 5y = 23x β y = 8Here we have that:y = 3x - 84x - 5y = 24x - 5(3x - 8) = 24x - 15x + 40 = 2-11x = -38Now, we have to verify which of these systems have this answer:4x β 5y = 213x β 8y = 413x - 8y = 44x β 5y = 210x + 3y = 1510x + 3y = 154x β 5y = 213x β 8y = 264x - 5y = 213x - 8y = 26This is the correct answerSo this is the correct answer4x β 5y = 27x + 6y = 10