Plug y=2x+1 into x+2y=17, we have:
x+ 2(2x+1)= 17
⇒ x+ 2*2x+ 2*1= 17 (distributive property)
⇒ x+ 4x+ 2= 17
⇒ 5x= 17-2
⇒ 5x= 15
⇒ x= 15/5
⇒ x= 3

y= 2x+1= 2*3+1= 7

Final answer: x= 3, y= 7~

3 0

4 years ago

Verify that the following equation is an identity. (1/sinx) - (1/cscx) = cscx - sinx

Anarel [89]

Manipulating the left side of the equation, we obtain:

$\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}$

Using that $\csc x=\dfrac{1}{\sin x}$ :

$\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\dfrac{1}{\sin x}}=\dfrac{\csc x-\sin x}{1}=\csc x-\sin x\\\\\boxed{\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\csc x-\sin x}~~\blacksquare$

6 0

3 years ago

Read 2 more answers

What is the value to this solution

saw5 [17]

-1/8 because it would be -1/16 which is closer to 0 then -1/8. We want something that will return a value where the denominator is large for a negative value.

4 0

2 years ago

Read 2 more answers

elixir [45]

Answer:

x=closest to 12m

Step-by-step explanation:

8 0

3 years ago