Answer:
B
Step-by-step explanation:
The equations are:
2x + y - 7 = 0
and
1/3x + y -4 = 0
Let's rearrange the first to get:
y = -2x + 7
Putting this into the 2nd equation we get:
[tex]\frac{1}{3}x + y -4 = 0\\\frac{1}{3}x + (-2x+7) -4 = 0\\\frac{1}{3}x-2x+7-4=0\\\frac{5}{3}x=3\\x=\frac{9}{5}[/tex]
Now, y would be:
[tex]y=-2x+7\\y=-2(\frac{9}{5})+7\\y=3\frac{2}{5}[/tex]
Solving the equation we see that there is 1 unique solution with 1 x value and another y values. That means, when graphing, the lines would intersect.
Answer choice B is right.
Note: Coincident means the same line and parallel means there would be no solution when solving
