Answer:
x = -11 and y= -8 is the solution to the system
Step-by-step explanation:
Given:
x - 2y = 5 let it be equation (i)
-x + y = 3 let it be equation (ii)
To find:
x = ?
y = ?
Solution:
The equations are given to us from which we are supposed to find the values of x and y
Taking first equation which is
x - 2y = 5
adding 2y on both sides
x - 2 y + 2y = 5 + 2y
x = 5 +2y ............................(iii)
Now putting this value in equation (ii)
which is
-x + y = 3
Putting value gives
-(5 + 2y) + y = 3
-5 -2y+y = 3
-5 - y = 3
adding 5 on both sides
-5 -y + 5 = 3 + 5
-y = 8
Multiplying both sides by (-1)
-y(-1) = 8 * (-1)
y = -8
Now we have equation (iii) which is
x = 5 + 2y
putting the value of y in it
x = 5 + 2*(-8)
x = 5 -16
x = -11
so the solution to the system is
x = -11 and y= -8
