Answer: Second Option
(Point in Quadrant I)
Step-by-step explanation:
The solution to a system of linear equations is the point where the two lines intersect.
Note that in this case we have two lines with different slope . By definition, if two lines have different slopes and are contained in the same plane, then there will always be an intersection between them at some point in the plane.
Looking at the image, you can see that the lines get closer as x and y increase. Then they will intercept in the first quadrant.
If you worked 19 hours per week at the cashier job, plus three hours a week doing swimming lessons, you'd be working 22 hours exactly, and making $214 per week. I hope this helps, and good luck! :)
Solving for (x,y)
(x-y=8)
(x=y-8) & (y=x-8)
solving for (y,x)
(2y=2x-16)
(y=x-8)&(x=y+8)