Switch the second equation to equal y so...
y=-2x-3
then plug in for y in the first equation
2x+4(-2x-3)=6
2x-8x-12=6
-6x=18
x=-3
now plug in for y
2(-3)+y=-3
-6+y=-3
y=3
answer (-3,3)
2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
In order to solve 5 + y = 7 you have to find the value of (y). In this case you could reverse do problem and do 7 - 5 to get the value of y. 7 - 5 = 2, which means y is equal to 2.
Answer:
C. Claire has 10 country CDs and 5 Jazz CDs
Step-by-step explanation:
means that 10 out of 15. So we can assume that in total she has 15 CDs and 10 of them are Country and the other is Jazz.
This would rule out choice D.
If we reduce this fraction then we would have:

This means that two-thirds of her CDs are country music. So this would rule out A and B choices.
Now C is correct because 10 country plus 5 Jazz is equal to 15 CDs. So we have the correct total.
The answer is C.
Answer:
The value of x is 4.
Step-by-step explanation:
Given:
In ΔABC
m∠A = 10x+9
m∠B = 34°
m∠C = 97°
To Find:
x= ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.

The value of x is 4.