Question

solve the PLE by elimination method : x+2y=20 and x-y=5​

Answer 1

Answer:

x=10

y=5

Step-by-step explanation:

eq 1 - eq 2

x+2y=20

-x+y = -5

3y=15

y=15/3

y=5

x-y=5

x=5+5

x=10

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Answer 2

Given,

x+2y = 20

x-y = 5.

To find,

The value of x and y.

Solution,

The value of x is 10 and of y is 5.

We can easily solve these equations using the elimination method by following the given steps.

Now,

We have two equations,

x + 2y = 20 --- equation 1

x - y = 5 --- equation 2

Multiplying equation 2 by 2,

2x - 2y = 10 ---- equation 3

Adding equation 3 to equation 1,

(2x - 2y = 10)--- equation 3 + (x + 2y = 20) ---- equation 1

After adding we will get,

3x = 30

x = 30/3

x = 10

Putting the values of x in equation 1,

x + 2y = 20 --- equation 1

10 + 2y = 20

2y = 20 - 10

2y = 10

y = 10/2

y = 5

Hence, the value of x and y is 10 and 5 respectively.