SOLUTION: Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the elimination method. •Multiply the equation 2x + y = 10 by -2; -4x - 2y = -10. •Add the equatio

Algebra ->  Systems-of-equations -> SOLUTION: Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the elimination method. •Multiply the equation 2x + y = 10 by -2; -4x - 2y = -10. •Add the equatio      Log On


   



Question 463648: Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the elimination method.
•Multiply the equation 2x + y = 10 by -2; -4x - 2y = -10.
•Add the equation 4x + 4y = 16 and the equation -4x - 2y = -10 together; 2y = 6.
•Isolate the variable y by dividing both sides of the equation by 2; y = 3.
Can anyone tell us why I multiplied the equation 2x + y = 10 by -2?
is this correct so far? please help!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Let me try to solve your system of equation 4x + 4y = 16 and 2x + y = 10 using the elimination method.
•Multiply the equation 2x + y = 10 by -2; -4x - 2y = -10.
•Add the equation
4x + 4y = 16 and the equation
-4x - 2y = -10 together;
-----------------
2y = 6.
•Isolate the variable y by dividing both sides of the equation by 2; y = 3.
Can anyone tell us why I multiplied the equation 2x + y = 10 by -2?
To get the coefficients of x to match.
--------------
is this correct so far? please help!!
It's correct, y = 3
-------------
Sub for y in 2x + y = 10
2x + 3 = 10
2x = 7
x = 3.5 or 7/2
That's all