SOLUTION: Determine x and y such that: 2 -3 1 x-y 4 -2 4 1 -1 0 -1 0 + 0 x 0 = 0 2x+y 0 This is what I got after I tried solving

Algebra ->  Matrices-and-determiminant -> SOLUTION: Determine x and y such that: 2 -3 1 x-y 4 -2 4 1 -1 0 -1 0 + 0 x 0 = 0 2x+y 0 This is what I got after I tried solving      Log On


   

Question 1175863: Determine x and y such that: 2 -3 1 x-y 4 -2 4 1 -1
0 -1 0 + 0 x 0 = 0 2x+y 0
This is what I got after I tried solving:
2+x-y=4 -1+x=2x+y y=3x-4
y=2x+x-4 b. y=-x-1 bx3 3y=-3x-3
a. y=3x-4 y=-7/4 and x=1/4
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Determine x and y such that: 2  -3  1       x-y 4  -2       4  1    -1
                             0  -1  0    +  0   x   0   =   0  2x+y  0
~~~~~~~~~~~~~~~ 


You should equate expression in respective cells.


cell (1,1) :    2 + (x-y) = 4           (1)

cell (2,2) :   -1 +   x   = 2x + y      (2)



It is your system of equations to find x and y.

Write it in the standard form


    x - y =  2       (3)

    x + y = -1       (4)


Add equations (3) and (4) to eliminate y.  You will get


    2x = 2 + (-1) = 1  ====>  x =  0.5.


Then from (4)  y = -1 - x = -1 - 0.5 = -1.5.


ANSWER.  x= 0.5;  y= -1.5.

Solved.