Question

lve the following pair of linear equation by the elimination method: x -y = 2 and 3r + 2y = 16​

Answer 1

Step-by-step explanation:

Given:-

Pair of linear equations : x - y = 2 and 3x + 2y = 16

To find:-

Find the solution of the pair of linear equations by Elimination method?

Solution:-

Given equations are :

x - y = 2 ------(1)

On multiplying with 2 on both sides, then

=>2x - 2y = 4 -----(2)

and 3x + 2y = 16 ---------(3)

On solving (2)&(3) by eliminating the variable "y"

3x + 2y = 16

2x -2y =4

___________

5x +0 =20

___________

5x=20

x=20/5

x=4

Substituting the value of x in (1)

=>4 - y =2

=>y= 4 - 2

=>y = 2

The value of x = 4 and y = 2

Answer:-

The value of x= 4

The value of y= 2

The solution for the given pair of linear equations =(4,2)

Check:-

Checking equation (1)

LHS = x - y

=>4- 2=2

RHS =2

LHS = RHS

Checking equation (2)

LHS = 3x + 2y

=>3(4) + 2(2)

=>12 + 4

=>16

LHS = RHS is true for (4,2)

Used method:-

Elimination method:-

In this method we eliminate one variable to get the value of another variable.