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Solve the pair of linear equation by the substuting method. 1. x y = 14 , 2. x- y = 4?
Most Upvoted Answer
Solve the pair of linear equation by the substuting method. 1. x y = 1...
I think It's not a question , the question is x+y = 14 , x-y = 4 from ex. 3.3 Q.1 (i)
Community Answer
Solve the pair of linear equation by the substuting method. 1. x y = 1...
Given:
Equation 1: x + y = 14
Equation 2: x - y = 4

Solution:
To solve the given pair of linear equations using the substitution method, we need to follow the steps below:

Step 1: Solve one equation for one variable in terms of the other variable.
Let's solve Equation 2 for x in terms of y:
x - y = 4
Adding y to both sides:
x = 4 + y
x = y + 4

Step 2: Substitute the expression obtained in Step 1 into the other equation.
Substituting x = y + 4 into Equation 1:
x + y = 14
(y + 4) + y = 14
2y + 4 = 14
2y = 14 - 4
2y = 10
Dividing both sides by 2:
y = 10/2
y = 5

Step 3: Substitute the value of y obtained in Step 2 into the expression obtained in Step 1 to find the value of x.
x = y + 4
x = 5 + 4
x = 9

Step 4: Verify the solution by substituting the values of x and y into both equations.
Equation 1: x + y = 14
9 + 5 = 14
14 = 14 (True)

Equation 2: x - y = 4
9 - 5 = 4
4 = 4 (True)

Step 5: Write the solution as a coordinate pair (x, y).
The solution to the given pair of linear equations is (9, 5).

Therefore, the solution to the given pair of linear equations is x = 9 and y = 5.
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Solve the pair of linear equation by the substuting method. 1. x y = 14 , 2. x- y = 4?
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