solve: 141x+103y=217;103x+141y=27
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Vikram141461:
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Answer:
The value of x is 3 and y is - 2.
Step-by-step explanation:
Given Equations:
141x+103y=217 ----------------- Equation (1)
103x+141y=27 --------------------- Equation (2)
Adding Equation 1 and Equation 2:
244x + 244y = 244
244(x + y) = 244 (Taking 244 common)
x + y = 244 / 244
x + y = 1 ------------------- Equation 3
Subtracting Equation 1 and Equation 2:
38x - 38y = 190
38(x - y) = 190
x - y = 190 / 38
x - y = 5 ---------------- Equation 4
Solving Equation 3 and Equation 4:
x + y = 1 ---------- Equation 3
x - y = 5 ---------- Equation 4
2x = 6
x = 6 / 2 = 3
Putting value of x in Equation 3:
3 + y = 1
y = 1 - 3 = -2
Therefore, the value of x is 3 and y is - 2.
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