Solving Systems of Linear Equations: Graphing — Quiz
Question 9 • Algebra I
How many solutions does this linear system have? y is equal to negative 1 half x plus 4 x plus 2 y is equal to negative 8
Answer
A
one solution: 0 comma 8
B
infinite number of solutions
C
one solution: 8 comma 0
D
no solution
Explanation
Substitute y = −½x + 4 into x + 2y = −8. This gives x + 2(−½x + 4) = −8, which simplifies to 8 = −8, a contradiction. Therefore, the system has no solution.
AI-written and checked against the verified answer.