Let X = the large #
Y = the small #
We have 2 unknowns, therefore we need 2 equations to solve for them:
X + Y = 61
X = 3Y - 7
Using the substitution method we get:
X + Y = 61 original equation
(3Y - 7) + Y = 61 substituting for X
4Y - 7 = 61 combine like terms
4Y - 7 + 7 = 61 + 7 add 7 to both sides
4Y = 68 simplify
4Y/4 = 68/4 divide both sides by 4
Y = 17 solve for Y
X + Y = 61 original equation
X + 17 = 61 replace Y with 17
X + 17 - 17 = 61 - 17 subtract 17 from both sides
X = 44 solve for X
Check your answer:
X + Y = 61 X = 3Y - 7
44 + 17 = 61 44 = 3(17) - 7
61 = 61 check! 44 = 51 - 7
44 = 44 check!
Therefore, the larger #(X) = 44 and the smaller #(Y)= 17.
You have to solve 3 equations pretty much simultaneously here using the x and y values in the general form of the quadratic equation

Start with the first values of x=0 and y=5.1 to solve for c:

so c = 5.1
Next use the second x and y values along with the value of c in the next equation:

gives you
-2.07 = a + b. Solve this for a:
a = -2.07 - b
Finally use the third set of numbers with the c value AND the subbed value for a:

1.17 = 9(-2.07 - b)+ 3b + 5.1 which simplifies to:
1.17 = -18.63 - 9b + 3b + 5.1 which further simplifies to:
14.7 = -6b and b = -2.45
Now you have c and b, let's find a using one of the simplified equations:
-2.07 = a + b
-2.07 = a - 2.45
a = .38
So here's your equation:
The play is split into 5 acts.
Answer: ![=8s\sqrt{x}-24\sqrt[n]{x}](https://tex.z-dn.net/?f=%3D8s%5Csqrt%7Bx%7D-24%5Csqrt%5Bn%5D%7Bx%7D)
Step-by-step explanation:
![s\sqrt{x}\cdot \:8-2\sqrt[n]{x}\cdot \:12](https://tex.z-dn.net/?f=s%5Csqrt%7Bx%7D%5Ccdot%20%5C%3A8-2%5Csqrt%5Bn%5D%7Bx%7D%5Ccdot%20%5C%3A12)
![=8s\sqrt{x}-24\sqrt[n]{x}](https://tex.z-dn.net/?f=%3D8s%5Csqrt%7Bx%7D-24%5Csqrt%5Bn%5D%7Bx%7D)
This is what a Stem and Leaf plot work. Do you know how to use it?