Question

55x + 52y = 217 ; 52x + 55y =217 find the value of x and y

Answer 1

Answer: (x,y)= (2,2)

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Answer 2

Answer:

Value of x is 2 and value of y is 2.

Step-by-step explanation:

Given Equations:

55x + 52y = 217 -------------------- Equation 1

52x + 55y =217 --------------------- Equation 2

Adding Equation 1 and Equation 2:

107x + 107y = 434

107(x + y) = 434

x + y = 434 / 107 = 4

x + y = 4 ------------------- Equation 3

Subtracting Equation 1 and Equation 2:

3x - 3y = 0

3(x - y) = 0

x - y = 0 ------------------------ Equation 4

Solving Equation 3 and Equation 4 by Elimination Method:

2x = 4

x = 4 / 2 = 2

Substituting value of x in Equation 3:

2 + y = 4

y = 4 - 2 = 2

Therefore, value of x is 2 and value of y is 2.