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Question: The equations \(2x + y = 5,x + 3y = 5,x - 2y = 0\) have...

The equations 2x+y=5,x+3y=5,x2y=02x + y = 5,x + 3y = 5,x - 2y = 0 have

A

No solution

B

One solution

C

Two solutions

D

Infinity many solutions

Answer

One solution

Explanation

Solution

2x+y=5.........(i)2x + y = 5.........(i)

x+3y=5.........(ii)x + 3y = 5.........(ii)

x2y=0.........(iii)x - 2y = 0.........(iii)

Solving(1)&(2),wegetx=2&y=1Solving(1)\&(2),wegetx = 2\& y = 1

Which is satisfied (3).