<span>6y - 5x = 0 so it intersects x=0 at (0,0) </span> <span>x + 3y = 21 </span>so it intersect x=0 at (0,7) multiply by 2 <span>2x + 6y = 42 subtracting 6y - 5x = 0 7x = 42 x = 6 so the third line intersects w second line at (6,5)
6. area of triangle = 1/2*base*height = 1/2*7*6 =21
The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.
