Answer: (4, -9)
<u>Step-by-step explanation:</u>
Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. <em>I will be eliminating y</em>
6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30
-7x - 2y = -10 → 1(-7x + 2y = -10) → <u> -7x - 2y = -10</u>
5x = 20
x = 4
Next, replace "x" with "4" into either equation and solve for y.
6(4) + y = 15
24 + y = 15
y = -9
<u>Check:</u>
Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.
-7x - 2y = -10
-7(4) - 2(-9) = -10
-28 - -18 = -10
-28 + 18 = -10
-10 = -10 
Answer:
35=0.5x+20
Step-by-step explanation:
y=mx+b
35= money you can spend
0.5= cost of each ride
x=number of rides you ride
20= price to enter
Answer:
X=0
(8,7)
Step-by-step explanation:
Answer: x=6 x=5
Step-by-step explanation:
Answer:
cos2t/cos²t
Step-by-step explanation:
Here the given trigonometric expression to us is ,
We can write the numerator as ,
Recall the identity ,
Using this we have ,
Again , as we know that ,
Therefore we can rewrite it as ,
Again using the first identity mentioned above ,
Or else we can also write it using ,
Therefore ,
And we are done !
Additional info :-
<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>
We can rewrite cos 2x as ,
As we know that ,
So that ,
On simplifying,
Hence,
