Attempt the following sub questions.
1 ) Find the value of x+y, if, 3x+2y=10;2x+3y=15
Answers
Answer:
x + y = 5
Step-by-step explanation:
We have a system of 2 equations such that
3x + 2y = 10
2x + 3y = 15
Adding these 2 equations,
5x + 5y = 25
Simplifying
5(x+y) = 25
x + y = 5
Step-by-step explanation:
Given:-
3x+2y=10;2x+3y=15
To find:-
Find the value of x+y ?
Solution:-
Given equations are :
3x+2y=10------------(1)
2x+3y=15--------------(2)
On adding (1)&(2) then
3x+2y=10
2x+3y=15
(+)
__________
5x + 5y = 25
___________
=>5(x+y)=25
=>x+y = 25/5
x+y = 5 ------------(3)
The value of x+y = 5
Check:-
On subtracting (2) from (1)
3x+2y=10
2x+3y=15
(-)
_________
x-y = -5------------(4)
__________
on adding (3)&(4) then
x+y = 5
x-y = -5
(+)
_________
2x +0 = 0
___________
2x = 0
=>x = 0/2 = 0
x =0
On Substituting the value of x in (1) then
3(0)+2y =10
=>0+2y = 10
=>2y = 10
=>y = 10/2
=>y = 5
x = 0 and y = 5
x+y = 0+5 = 5
Answer:-
The value of x+y for the given problem is 5