Q:

Choose the graph that matches the following system of equations:4x + 2y = βˆ’2 x βˆ’ 3y = 24A) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 0 and negative 6 comma 10B) a line includes points 0 comma 8 and 3 comma 7. A line includes points negative 1 comma 3 and negative 2 comma 7C) a line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6B) a line includes points 0 comma negative 1 and 1 comma negative 5. A line includes points negative 1 comma negative 9 and 2 comma negative 6

Accepted Solution

A:
Answer:Option C. Step-by-step explanation:we have[tex]4x + 2y = -2[/tex] -----> equation A[tex]x-3y=24[/tex] -----> equation Bwe know thatThe solution of the system of equations is the intersection point both graphsusing a graphing toolsee the attached figureThe intersection point is (3,-7) -----> is a common point both linesThe point (1,-3) belong to the line AThe point (6,-6) belong to the line Bthereforea line includes points 1 comma negative 3 and 3 comma negative 7. A line includes points 3 comma negative 7 and 6 comma negative 6