SOLUTION: i need to use the substitution method to solve for this: x+4y=19 -4x+3y=38 i always mix up the substitution and elimination methods, what i got so far was -4(19-4y)+3y=

Algebra.Com
Question 665544: i need to use the substitution method to solve for this:
x+4y=19
-4x+3y=38
i always mix up the substitution and elimination methods, what i got so far was
-4(19-4y)+3y=38

Found 2 solutions by Alan3354, lynnlo:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
i need to use the substitution method to solve for this:
x+4y=19
-4x+3y=38
i always mix up the substitution and elimination methods, what i got so far was
-4(19-4y)+3y=38
------------
That's one eqn in y, so it can be solved.
-4(19-4y)+3y=38
-76+16y + 3y = 38
19y = 114
y = 6
----------
x = 19-4y = 19-24
x = -5

Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
EXAMPLE: YOU WILL THEN UNDERSTAND YOUR PROBLEMS BETTER
2X+3Y=5
X+Y=5
STEP(1)=======SOLVE ONE OF THE EQUATIONS X= OR Y=
I SOLVED THE SECOND EQUATION
X+Y=5
Y=5-X
STEP(2)=======SUBSTITUTE THE SOLUTION IN STEP 1 INTO THE SECOND EQUATION
2X+3Y=5
2X+3(5-X)=5
STEP(3)=======SOLVE EQUATION
2X+3(5-X)=5
2X+15-3X=5
-X+15=5
-X=5-15
X=10
STEP(4)===========
SOLVE THE FIRST VARIABLE
Y=5-X
Y=5-10
Y=-5
X=10,Y=-5
I HOPE THIS EXAMPLE REALLY HELP WITH YOUR WORK

RELATED QUESTIONS

I need help with this Use the substitution method to solve the system -x +... (answered by solver91311)
so i need to do the substitution method for this equation x-3y=8 x+y= -2 i also need (answered by Alan3354)
Simultaneous equation Exercise; substitution method 1 Use the substitution method to... (answered by Cromlix)
i need to use substitution method or elmination here. i am just not sure if i find the... (answered by Alan3354)
I need to use the substitution method, here is the problem: x=3y-1... (answered by Alan3354,solver91311)
Can you please tell me if i got these correct? Im doing a practice test to study for my... (answered by Edwin McCravy,solver91311)
i need help to solve this equation using the substitution method 4x-y= -1 3x+2y=... (answered by ankor@dixie-net.com)
I do not get how to use the substitution method while solving the equation 2x+4y=-6... (answered by chitra)
I know I need to use substitution to solve the system, but can you help me here.... (answered by funmath)