Solve the following simultaneous equation --- x/4 + y/4 = 4 ; x/2 - y/4 = 1 - Maths - Linear Equations in Two Variables

Question

Solve the following simultaneous equation --- x/4 + y/4 = 4 ; x/2 -
y/4 = 1

Abhishek Jha · Accepted Answer

Dear Student,

Here is the solution of your asked query:

x4+y4=4⇒x+y4=4⇒x+y=16     
(i)x2-y4=1⇒2x-y4=1⇒2x-y=4     
(ii)Adding (i) and (ii) we get;x+y+2x-y=16+4⇒3x=20⇒x=203Then from (i) we have;y=16-203=283Therefore, x=203 and y=283
Regards

Solve the following simultaneous equation --- x/4 + y/4 = 4. ; x/2 - y/4 = 1