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So we know if two linear equations ax + by c = 0 and a₁x+b₁y + c₁ =0 a/a₁=b/b₁=c/c₁ so here 2x+3y-7=0 and (m-1)x+(m+1)y=(3 m-1) 2/(m -1)= 3/(m + 1)= 7/(3m - 1) so solving we get m = 5

so we know if two linear equations ax + by c = 0 and a₁x+b₁y + c₁ =0 a/a₁=b/b₁=c/c₁ so here 2x+3y-7=0 and (m-1)x+(m+1)y=(3 m-1) 2/(m -1)= 3/(m + 1)= 7/(3m - 1) so solving we get m = 5