find the value of x and y, (x+y, 2x-y)= (13, 2)

Question

find the value of x and y, (x+y, 2x-y)= (13, 2)

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5 months 2021-08-27T15:55:46+00:00 2 Answers 0 views 0

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x – y = 2

Now use substitution method.

x + y = 13

x = 13 – y                 equation(i)

substitute the value of x

2x – y = 2

2(13 – y) – y = 2

26 – 2y – y = 2

-3y = 2 – 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 – y

x = 13 – 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x – y = 13

substitute the value of x and y . REsult must come 2

2*5 – 8 = 2

10 – 8 = 2

2 = 2

10 – 8 = 2

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 — (1)

2x – y = 2 — (2)

using the elimilation method,

Rewriting (1), y = 13 – x –(1)’

Replacing (1)’ into (2),

2x – ( 13 – x) = 2

2x – 13 + x = 2

3x = 15

x = 5 — (3)

Replacing (3) into (1),

5 + y = 13

y = 8 — (4)

Accorindg to (3) and (4),

x = 5, y = 8

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