4. Using the substitution method, solve each of the<br />following pairs of simultaneous equations.<br />(a) 3x-y=0 2x+y=5 About the author Ximena
Answer Wehave 2x+y=5−−−−(1) and,3x−y=5−−−(2) Onaddingbothequationweget 2x+y+3x−y=5+5 ⇒5x=10 ∴x=2 Now,onputtingthevalueofxinequation(1),weget y=5−2x =5−2(2) =5−4 =1 Hence,thevalueofx=2andy=1. Reply
Answer
Wehave
2x+y=5−−−−(1)
and,3x−y=5−−−(2)
Onaddingbothequationweget
2x+y+3x−y=5+5
⇒5x=10
∴x=2
Now,onputtingthevalueofxinequation(1),weget
y=5−2x
=5−2(2)
=5−4
=1
Hence,thevalueofx=2andy=1.