A straight line $y=mx$ passes through the intersection of the straight lines $x+2y-1=0$ and $2x-y+3=0.$Find the value of m.

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Let us solve the given equations, x+2y=1 and 2x-y=-3 On solving we get, x =-1 and y =1 Since the line y=mx passes through the points(-1,1), 1=m(-1) Therefore m =-1.