To solve this system of linear equations we need a little trick called elimination steps are below
we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get

now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use

so now we substitute y and get




now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)
Answer:
115°
Step-by-step explanation:
The angles of elevation and depression are supplementary, thus
angle of depression = 180° - 65° = 115°
Answer:
28
Step-by-step explanation:
FG = BC * 2 = 14 * 2 = 28
Okay. So, basically a 1/2 of a cake would be broken into 3 parts, because Balu eats double the amount Pumba does and Pumba eats cake as well. Let’s do 1/2 / 3. To divide fractions, keep 1/2 the same, change the division into multiplication, and flip 3 into 1/3. Multiply across. 1/2 * 1/3 is 1/6. 1/6 * 2 is 2/6. 2/6 is twice of 1/6 and 1/6 + 2/6 = 3/6. 2/6 in simplest form is 1/3. Balu ate 1/3 of a whole cake.
Answer:
$6.21
Step-by-step explanation:
1 apple = $0.60
3 apples = $1.80 (Multiply 0.60 by 3)
2 bananas = $1.00 (Multiply 0.50 by 2)
1 quart of yoghurt = $4.50
Add the prices up first:
1.80 + 1.00 + 4.50 = $7.30
7.30 off 15% = $6.21