Solve the problem.
-y = 2x - 3 8x + 4y = 7
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if the system of equations has a solution, we can solve it algebraically. The first equation is y = 2x - 3. Substituting this into the second equation gives 8x + 4(2x - 3) = 7, which simplifies to 8x + 8x - 12 = 7, or 16x = 19, so x = 19/16. Substituting x back into the first equation gives y = 2(19/16) - 3 = 38/16 - 48/16 = -10/16 = -5/8. Since we found a solution (x = 19/16, y = -5/8), the correct answer is actually "Yes," indicating a mistake in my initial assessment.

Solve the Problem. -Y = 2x - 3 8x + 4y = 7