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Evgesh-ka [11]
2 years ago
5

How do u simply 2x+3y=5y​

Mathematics
2 answers:
dangina [55]2 years ago
7 0
2x=5y-3y
2x=2y
x=y

Hope this can help.
Verizon [17]2 years ago
6 0

Answer:

x=y

Step-by-step explanation:

Collect Like terms from 2x+3y=5y

Like this: 2x=5y-3y (when switching sides, turn positive into negative, negative into positive)

2x=5y-3y

Simplify

2x=2y

Simplify

x=y

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3 years ago
Find two positive real numbers whose product is a maximum. the sum is 80
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Let's say the numbers are "a" and "b"

thus \bf y=ab\qquad 
\begin{cases}
a+b=80\\
b=80-a
\end{cases}\implies y=a(80-a)\implies y=80a-a^2\\\\
-----------------------------\\\\
\cfrac{dy}{da}=80-2a

set the derivative to 0, and check the critical points, there's only one anyway

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3 years ago
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7 0
3 years ago
The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?
Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 =  \frac{D_1 \ - \ 2}{2}  \ \ ----(1)\\\\-7 =  \frac{D_2 -10}{2}  \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)

Therefore, the coordinate of D = (-4, -4)

6 0
3 years ago
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