Solution of system 11x+9y=31,9x+11y=29
Answers
Answer:
x+y= 30
Step-by-step explanation:
11x+9y=31.
9x+11y=29.
11x+9y-31=0
9x+11y-29=0
(11x+9x)+ (9y+11y)+(31-29)=0
= 20x+20y-60=0
20x+20y=60
20(x+y)=60
x+y=60/20
x+y=30
Answer:
The solution of the system of equation is x = 2 , y = 1.In ordered pair (2,1) is the solution.
Step-by-step explanation:
Elimination method: Elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
Given:
11x+9y = 31 , 9x +11y = 29
To find: The solutions xand y
solution:
we will find the solution by elimination method.
11x + 9y = 31------eq(1)
9x + 11y = 29 -----eq (2)
multiplying eq(1) by 9 and eq(2) by 11 and subtracting, we get
eq(1)×9 ⇒ 99 x + 81 y = 279
eq(2)×11 ⇒ ₍₋₎99 x + ₍₋₎121 y = ₍₋₎319
-40 y = - 40
then y = -40/-40 = 1
y = 1.
now substituting y = 1 in eq . (1) we get
11 x + 9 y = 31 ⇒ 11 x + 9 ×1 = 31
⇒11 x + 9 = 31
⇒11 x = 31 - 9 = 22
∴ x = 22/11 = 2
thus the solution of the system of equation is x =2, y = 1.
The ordered pair (2,1) is the required solution of the system.
#SPJ2