Question

Find the solution to the following system of equations? x - 2y = 5 -x + y = 3

Answer 1

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