How do you solve x=-2yx=−2y and x=2-4yx=2−4y using the substitution method?
1 Answer
Mar 30, 2018
Explanation:
x=-2yto(1)x=−2y→(1)
x=2-4yto(2)x=2−4y→(2)
"since both equations express x in terms of y we can"since both equations express x in terms of y we can
"equate the right sides"equate the right sides
rArr-2y=2-4y⇒−2y=2−4y
"add 4y to both sides"add 4y to both sides
-2y+4y=2cancel(-4y)cancel(+4y)
rArr2y=2
"divide both sides by 2"
rArry=1
"substituting "y=1" into equation "(1)" gives x"
rArrx=-2xx1=-2
"the solution is "(x,y)to(-2,1)