Answer:
<u>x= -7 , y= 9</u>
Steps:
4x+3y=-1
5x+4y=1
First, multiply the top equations by -5, and the bottom by 4 to get :
-20x-15y=5
20x+16y=4
Then, you’re going to add the two equations with them being on top of each other so you can easily see what cancels out :
-20x-15y=5
+ 20x+16y=4
———————
0+1y=9
From this, you get :
y=9
Now that you have one variable, find x by substituting 9 for y in one of the equations, I choose :
4x+3y=-1
So :
4x+3(9)=-1
Then simplify by multiplying 3 and 9 :
4x+27=-1
Then subtract 27 on each side :
4x=-28
Then, divide by 4 to get that :
x= -7
Hope this helps!!
Equations:
x + y = 26
x - y = 4
---
Add to get:
2x = 30
x = 15
---
Solve for "y":
x + y = 26
15 + y = 26
y = 11 (smaller number)
24 / (3/8) =
24 * 8/3 =
192/3 =
64......there are 64 three-eights quart jars
Answer:
csc Θ =
Step-by-step explanation:
Given
tan Θ = - = ← of a right triangle , then
hypotenuse h² = 15² + 8² = 225 + 64 = 289 ( square root both sides )
h = = 17
Using the identity
csc x =
sin Θ = =
Since Θ is in second quadrant then sinΘ and csc Θ > 0, thus
csc Θ = =