Each of the faces of a fair six-sided number cube is numbered with one of the numbers 1 through 6 with a different number appear
ing on each face. Two such number cubes will be tossed, and the sum of the numbers appearing on the faces that land up will be recorded. What is the probability that the sum will be 4, given that the sum is less than or equal to 6?
Starting with the equation Y - 4x = 7, we can express y as y = 4x + 7. Now, substitute this expression into the second equation 2y + 4x = 2:
2(4x + 7) + 4x = 2,
which simplifies to 8x + 14 + 4x = 2. After that, we gather like terms:
12x = 2 - 14,
yielding 12x = -12, hence x = -1. Plugging x into the equation y - 4(-1) = 7 also reveals:
y + 4 = 7,
which gives y = 3. Thus, the solution arrives at (-1, 3).
