rewrite as
15x-6y = 36
14x+6y = 22
now add to get
29x = 58
x = 2
now use that to find y
5x-2y=12 ,7x+3y=11
2 answers
There are several methods you can use to solve this system.
This is one of the methods.
Multiply first equation by 7
35 x - 14 y = 84
Multiply second equation by 5
35 x + 15 y = 55
Now:
35 x - 14 y = 84
-
35 x + 15 y = 55
_______________
35 x - 35 x - 14 y - 15 y = 84 - 55
- 29 y = 29
Divide both sides by - 29
y = - 1
Put this value in first equation.
5 x - 2 y =12
5 x - 2 • ( - 1 ) = 12
5 x + 2 = 12
Subtract 2 to both sides
5 x = 10
x = 10 / 5 = 2
The solution is:
x = 2 , y = - 1
You can write solution as ( 2 , - 1 )
This is one of the methods.
Multiply first equation by 7
35 x - 14 y = 84
Multiply second equation by 5
35 x + 15 y = 55
Now:
35 x - 14 y = 84
-
35 x + 15 y = 55
_______________
35 x - 35 x - 14 y - 15 y = 84 - 55
- 29 y = 29
Divide both sides by - 29
y = - 1
Put this value in first equation.
5 x - 2 y =12
5 x - 2 • ( - 1 ) = 12
5 x + 2 = 12
Subtract 2 to both sides
5 x = 10
x = 10 / 5 = 2
The solution is:
x = 2 , y = - 1
You can write solution as ( 2 , - 1 )