Question

solve the following pair of linear equations by any x+y=5,2x-3y=5​

Answer 1

Answer:

x+y = 5 → (equation 1 )

2x-3y = 5 → (equation 2 )

x+y = 5

x = 5-y → (equation 3 )

put value of x in equation 2

2 (5-y) -3y = 5

10-2y-3y = 5

10-5y = 5

-5y = 5-10

-5y = -5

y = -5/-5

y = 1

put value of  y in equation 1

x + y = 5

x + 1  = 5

x = 5 - 1

x = 4

Step-by-step explanation:

Answer 2

The required solution x = 4 , y = 1

Given :

The pair of linear equations x + y = 5 , 2x - 3y = 5

To find :

Solve the pair of linear equations

Solution :

Step 1 of 2 :

Write down the given pair of linear equations

Here the given pair of linear equations are

x + y = 5 - - - - - - - (1)

2x - 3y = 5 - - - - - - (2)

Step 2 of 2 :

Solve the pair of linear equations

From Equation 1 we get

y = 5 - x - - - - - - (3)

Substituting the value of y in Equation 2 we get

2x - 3(5 - x) = 5

⇒ 2x - 15 + 3x = 5

⇒ 5x - 15 = 5

⇒ 5x = 15 + 5

⇒ 5x = 20

⇒ x = 20/5

⇒ x = 4

Putting x = 4 in Equation 3 we get

y = 5 - 4

⇒ y = 1

Hence the required solution is x = 4 , y = 1

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