Question

In which quadrant does the solution to this system lie?
y=4x-1
y=7x-4

A. second quadrant (-n, n)
b.first quadrant (n, n)
c. third quadrant (-n, -n)
d.fourth quadrant (n, -n)

Answer 1

b.first quadrant (n, n)

Answer 2

to find the answer you want the solution (the point) which satisfies this equation. since there are only 2 equations, there is only 1 point.

find when they are equal to eachother: y1 = y2:

4x - 1 = 7x - 4 ---> 3 = 3x --> x = 1 --> plug x into either equation (same result)

y = 3. The point is (1,3). both coordinates are positives so it is in the first quadrant.