-6x+5y=2 and-5x+6y=9 elimation method
Answers
-6x+5y=2-----------(1)
-5x+6y=9 -----------(2)
add eq(1) and (2)
-6x+5y=2-----------(1)
-5x+6y=9 -----------(2)
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-11x+11y=11
divide both the side by 11
-x+y=1------------(3)
subtract eq(1) and (2)
-6x+5y=2-----------(1)
-5x+6y=9 -----------(2)
+ - -
--------------
-x-y=-7----------(4)
add eq (3) and (4)
-x+y=1------------(3)
-x-y=-7----------(4)
------------
-2x=-6
x=-6/-2
x=3
put x=3 in eq (3)
-x+y=1------------(3)
-(3)+y=1
3+y=1
y=1-3
y=2
Answer:
x=3
y=4
Step-by-step explanation:
-6x + 5y =2 --->eqn .1
-5x +6y =9 ----> eqn.2
multiply (1) by -5
and (2) by +6
so it becomes
+30x -25y = -10
-30x +36y=54
cancel 30x and -30x
now it becomes
-25y+36y=-10+54
+11y = 44
y= 4
like this
if we multiply 6 and -5 to equations
it becomes
-36x+30y =12
25x -30y =-45
25x+(-36x)= -45+12
-11x =-33
x=3