solve the following in elimination method 3x+4y=25 ,5x-6y=9
Answers
Answer:
x= 3 ,y=4
Step-by-step explanation:
3x+4y=25---------eq [1]
5x-6y=9-------------eq [2]
equation[ 1] × 5 & equation[ 2 ]× 3
then,
15x+20y=125--------eq[ 3]
15x-18y=27-----------eq[4]
eq(3)-eq(4)
38y=152
y=4
put y=4 in eq [1]
3x+4×4=25
3x+16=25
3x=9
x=3
Solution =
3x+4y=25 -----(1)
5x- 6y = 9 ------(2)
multiply equation (1)by 5 and equation (2) by 3 to make x equal.
than,
15x+20y=125 -------(3)
- (15x- 18y = 27) -------(4)
---------------
38y = 152
y = 152/38
y = 4
put the value of y in equa...(1)
3x+4y=25
3x+4(4)=25
3x+16=25
3x= 25-16
x = 9/3
x = 3
( x, y) = (3,4) solve