X + 5y - 10 = 0
x = 2y - 8
Substitute the value of x in the 2nd equation to the 1st equation.
2y - 8 + 5y - 10 = 0
7y - 18 = 0 This is the resulting equation in its simplest form.
Find the value of y to get the corresponding value of x.
7y -18 = 0
7y = 18
y = 18/7
y = 2 4/7
x = 2y - 8
x = 2 (18/7) - 8
x = 36/7 - 8
x = 36/7 - (8 * 7/7)
x = 36/7 - 56/7
x = (36-56)/7
x = -20/7
x = -2 6/7
to check:
x + 5y - 10 = 0
-20/7 + 5(18/7) - 10 = 0
-20/7 + 90/7 - 10 = 0
-20/7 + 90/7 - (10 * 7/7) = 0
-20/7 + 90/7 - 70/7 = 0
(-20+90-70)/7 = 0
0/7 = 0
0=0
Answer:
Step-by-step explanation:
CosB = ((15^2) + (8^2) - (14^2)) / (-2(15)(8))
cosB = 93 / -240
Take inverse cosine:
113°
Answer:
13/18 is the correct answer to 10(x-2)=-2(4/3+7x)
Step-by-step explanation:
Hope this helps!!!
Answer:
D. 13*3^x
Step-by-step explanation:
![3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x](https://tex.z-dn.net/?f=3%5Ex%20%2B4%2A3%5Ex%5E%2B%5E1%3D%20%5C%5C3%5Ex%2B4%2A3%283%5Ex%29%3D%5C%5C3%5Ex%281%2B%5B4%2A3%5D%29%3D%5C%5C3%5Ex%281%2B12%29%3D%5C%5C3%5Ex%2813%29%3D%5C%5C13%2A3%5Ex)
Hi there!
Thanks for asking for help!
I believe Part A of your answer is the expression: n+2n.
Because that is the answer for Part A, Part B is the answer: "The expression for the bookcases is n+2n because the problem says 'the larger bookcase holds twice as much as the smaller one,' and 'let n represent the amount of books the smaller bookcase holds'.
Since you need to find an expression for the amount both bookcases needs to hold you would add n (capacity of the smaller bookcase) and 2n (capacity of the larger bookcase) together to have an expression that represents the amount both hold.
Part C: 90=3n
I know this is the correct equation based on the expression written above since n+2n=3n, and the problem says "the amount both bookcases hold together is 90 books"
btw, bookcase 1 holds 30 books and the large bookcase holds 60.
Hope this helps you out! :)
