3x+2y=8
5x-2y=8
1) Cross out the 2ys and add the rest of the equations together.
2) 8x=16
3) 16/8=2 Therefore, x=2
4) Add 2 into one of the equations (either one)
5)3(2)+ 2y=8
6) 6+2y= 8
7) Subtractionnnnn 8-6=2
8) 2y=2
9) 2/2= 1
10) y=1 x=2 (2,1)
Answer:
(x,y)=(5,-1)
Step-by-step explanation:
1. 2x+y=9 ---> y=9-2x
2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.
3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1
Answer: The price of each gift is $5.
Step-by-step explanation:
Since we have given that
Amount = $300
Divided into equally among 5 fourth grade teachers.
so, Amount each fourth grade teacher would be

Since Number of hits that need to buy = 12
Each cost the same amount.
So, Price of each gift would be

Hence, the price of each gift is $5.
Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.