Q:

Will mark brainliest!!!Which equation represents: "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100." A) 12x^2 + 4xy + 100 = 0 B) 12x^2 − 4xy + 100 = 0 C) 12x^2 + 4xy − 100 = 0 D) 12x^2 − 4xy − 100 = 0

Accepted Solution

A:
Let's call the first unknown integer x and the second one y."Four times an unknown integer" We can write it as 4x"Multiplied by three times the unknown integer plus a different unknown integer" 4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy "Equals 100."12x²+4xy=100And so the answer is C: 12x²+4xy-100=0