Find the values of x and y if x + 2y = 4 and 2x - 3y = 5.

x + 2y = 4 and 2x - 3y =
5

you can do this many ways one of those will be by
subtracting 2y from x + 2y = 4

x = 4 -
2y

now plug in this number as x in the other
problem:

2(4 - 2y) - 3y =
5

distribute the 2:

8 - 4y -
3y = 5

combine like terms

8 -
7y = 5

subtract the 8:

-7y = 5
- 8

-7y = -3

divide by
-7
y = -3/-7

the negatives cancel each other
out:

y = 3/7 or
.43

to find x just plug in 3/7 as y in any
of the equations above:

x + 2(3/7) =
4 

2(3/7) = 0.857142857 or
0.86

simplify:

x + .86 =
4

subtract .86

x =  4 -
.86

x =
3.14