You can use substitution to solve this.
Let's look at the 2nd equation. 2x+3y=29.
In the first equation, we know that x=12-y. So, substitute that in for the 2nd equation. Do that and we have 2(12-y)+3y=29.
Distribute the 2.
24-2y+3y=29.
Combine like terms.
24+1y=29
Subtract the 24, then subtract on the other side of the equation too.
24-24=0, 29-24=5
So now we know that y=5.
Substitute this for the first equation now to find x.
x=12-5
x=7
Final answer: (7,5) or x=7 y=5
Given:
ABC is a right triangle.
Opposite of C = AB = 6
Adjacent of C = BC = 8
Hypotenuse = AC = 10
To find:
The value of sin C.
Solution:
Using basic trigonometric ratio formula:
Cancel the common factors.
The value of sin C is 
.
Answer:
1. 1/6
2. 4/6 (There are 4 factors of 6, 1, 2, 3 and 6)
3. Therefore, the game in not fair as the friend are quadruple the chance of winning the game compared to you. You can only land on 1 number to win, your friend can land on 4 numbers to win.
Hope this helps :)
