SOLUTION: I am having trouble solving this equation its so simple but i cant remember please help. 5x-3y=4 y-x=-2 solving by substitution method please show me how to solve I am not g

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I am having trouble solving this equation its so simple but i cant remember please help. 5x-3y=4 y-x=-2 solving by substitution method please show me how to solve I am not g      Log On


   



Question 53173: I am having trouble solving this equation its so simple but i cant remember please help.
5x-3y=4
y-x=-2
solving by substitution method please show me how to solve I am not getting the answer right.

Found 3 solutions by checkley71, MathTherapy, greenestamps:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X-Y=-2 OR X=Y-2 THEN SUBSTITUTING (Y-2) FOR X IN THE FIRST EQUATION WE GET
5(Y-2)-3Y=4 OR 5Y-10-3Y=4 OR 2Y=4+10 OR 2Y=14 OR Y=14/2 OR Y=7
THEN X-7=-2 OR X=-2+7 OR X=5
PROOF 5(7-2)-3*7=4 OR 5*5-21=4 OR 25-21=4 OR 4=4

Answer by MathTherapy(10849) About Me  (Show Source):
You can put this solution on YOUR website!
I am having trouble solving this equation its so simple but i cant remember please help.

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

solving by substitution method please show me how to solve I am not getting the answer right.
*************

The following response from the other person is RUBBISH!!! Hopefully, no one pays attention to it!
X-Y=-2 OR X=Y-2 THEN SUBSTITUTING (Y-2) FOR X IN THE FIRST EQUATION WE GET
5(Y-2)-3Y=4 OR 5Y-10-3Y=4 OR 2Y=4+10 OR 2Y=14 OR Y=14/2 OR Y=7
THEN X-7=-2 OR X=-2+7 OR X=5
PROOF 5(7-2)-3*7=4 OR 5*5-21=4 OR 25-21=4 OR 4=4

===============
                5x - 3y = 4 ---- eq (i)
                    y - x = - 2___y + 2 = x ---- eq (ii)

                5x - 3y = 4 ---- eq (i)
      5(y + 2) - 3y = 4 ---- Substituting y + 2 for x in eq (i)
       5y + 10 - 3y = 4
                5y - 3y = 4 - 10
                        2y = - 6
                         highlight%28y+=+%28-+6%29%2F2+=+-+3%29

                    y + 2 = x ---- eq (ii)
                 - 3 + 2 = x ---- Substituting - 3 for y in eq (ii)
                        - 1 = x
Solution set: highlight%28system%28x+=+-+1%2C+y+=+-+3%29%29

You can do the check!!

Answer by greenestamps(13362) About Me  (Show Source):
You can put this solution on YOUR website!


5x-3y = 4 [1]
y-x = -2 [2]

The instructions say solve by substitution.

Solve [2] for y:
y = x-2 [3]

Substitute [3] in [1]:

5x-3(x-2) = 4
5x-3x+6 = 4
2x = -2
x = -1 [4]

Substitute [4] in [3]:

y = -1-2
y = -3 [5]

ANSWER: x = -1; y = -3