Question

Solve the following system of equations graphically.

x + y - 4 = 0
x - y = 0

The solution lies in quadrant _____.


I
II
III
IV

Answer 1

Are you required to draw the graphs?

Answer 2

If not, you can look at the two equations and "see" the solution.

x + y =4
x - y = 0
--------

To numbers that add to 4 and subtract to 0.

The question is, of course, in which quadrant is the solution.

Answer 3

its quad 4 then??

Answer 4

Well, if the question says graphically, you may want to sketch the graphs of these 2 equations but you can also analyze the two equations. Convert them to y=4-x and y=x, then you know that the second equation passes through the i and iii quadrants, and then the first equation passes through i, ii and iii quadrants as you can see when x=0 y=4. then the intersect must be in the i quadrant... I hope I'm right, I've zoomed out many times today~~

Answer 5

@Takuno so your saying its in Quadrant 1??

Answer 6

Yes, if it's asking for the intersect. Because when you have x+y=o indicates that y=-x, the graph of this equation is in quadrant ii and iv, but the equation says x+y-4=o then y=4-x which is equal to the graph of y=x goes up for 4 unit which shows that it passes through quadrant i, ii and iv(sorry that I typied qiii above, it should be i, ii and iv).

Answer 7

Plot the graphs and you will see it.

Answer 8

@Miyuru incisive O(∩_∩)O

Answer 9

?