find the point of intersection of the graphs of the equation x+y=2 2x-y=1?

Answer 1

x+y = 2
then y = 2-x
2x-y=1
then y = 2x-1
graph two equation and youwill see the intersection at
x= 1, y =1

Answer 2

You can solve this either by substitution or elimination.

By substitution, you need to express one equation as y = something or x = something and then substitute it into the other equation. By inspection, it is easier to do y = something because the other equation contain just 1y or y only.

so the first equation is y = 2-x, subs to 2x -y = 1 becomes 2x - (2-x) = 1 or 2x -2 +1x = 1
or, 3x -2 = 1
3x = 1 + 2
3x = 3
therefore, x = 1

to find the y value just substitute into either equation. But sometimes it is important to check which one is easier to evaluate. In this case, it is the first one. 1 + y = 2, or y = 2 -1 or y = 1

In elimination, you line up your equations, like so,

x + y = 2
2x - y = 1 , note by adding, you eliminate y
--------------
3x = 3
x = 1, etc to get y =1

Thus the point of intersection, is (1,1)

You can also graph the equations before or after solving algebraically.

Answer 3

x + y = 2
2x - y = 1--------ADD
3x = 3
x = 1
y = 1
Point of intersection is (1 , 1)

Answer 4

im thinking .3333 repeating and 1.6 repeating i hope i did that right