Answer:
Only one solution
x=1/2
Step-by-step explanation:
Collect like terms.
3/2x=3
Solve for x.
6x=3
x=1/2
Write the ratio out.
Number of hands Betty won : Number of hands Adam won
5:20
Both can be simplified by the common factor of 5.
1:4 is the solution.
There is no solution. if you are using the two equations to solve for y and x.
you can plug one equations into the other.
substituting one of the y gives...
3(x+4)=3(x-4)
÷ both sides by 3 gives x+4=x-4
get x on one side and numbers on the other
x-x =4+4
and x-x will give you a 0 for the left side
therefore 0 = 4+4.. not true.
Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
