Solve x-2y=0; 3x+4y=20
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Given: x-2y=0
3x+4y=20
We need to find the values of x and y
x-2y=0 ————-(i)
3x+4y=20————-(ii)
Multiplying Equation (i) by 2 we get
2x-2y=0———–(iii)
Solving equations (ii) and (iii) we get,
3x+4y=20
2x-4y=0
_________
5x=20
x=5
Substituting the value of x in equation (i) we get,
5-2y=0
-2y=-5
2y=5
y=5/2
Hence x= 5 and y = 5/2
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1
Answer:
The given equations are as follows: x – 2y = 0 ………….(i) 3x + 4y = 20 …………(ii) On multiplying (i) by 2, we get: 2x – 4y = 0 …………(iii) On adding (ii) and (iii), we get: 5x = 20 ⇒ x = 4 On substituting x = 4 in (i), we get: 4 – 2y = 0 ⇒ 4 = 2y ⇒ y = 2 Hence, the required solution is x = 4 and y = 2.
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