(i) x + y = 5 and 2x - 3y=4 by elimination method..
Answers
Answer:
Here is your answer
Step-by-step explanation:
x + y = 5 ( equation 1 )
2x - 3y = 4 ( equation 2 )
Now,
multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )
(2x + 2y = 10) - (2x - 3y = 4 )
=> 2x + 2y - 2x + 3y = 6
=> 5y = 6
=> y = 6/5
Putting the value of y in ( eq.1 )
=> x+ y = 5
=> x + 6/5 = 5
=> x = 5 - 6/5
=> x = 19/5
Hope it helps...
SOLUTION:-
Given
• x+y=5
• 2x-3y=4
To find
• value of x and y
Explanation
☆ Elimination method ☆
• x+y=5__________(1)
• 2x-3y=4__________(2)
Multiply eq 1 by 3
3( x+y=5)
= 3x+3y=15____________(3)
On adding eq 2 and 3
2x-3y=4
3x+3y=15
__________
5x= 19
x= 19/5
Putting value of x in eq 3
3x+3y=15
3×19/5+3y=15
57/5 +3y =15
57+15y / 5 =15
57+15y= 75
15y=75-57
y= 18/15
Value of x= 19/5
and value of y= 18/15