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