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Lena [83]
3 years ago
6

Solve the system by substitution. Y = 2x y = 5x - 30

Mathematics
1 answer:
uysha [10]3 years ago
8 0

Answer:

x= 10; y=20

Step-by-step explanation:

2x=5x-30

30=3x

30/3=x

x=10

y=2(10)

y=20

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mihalych1998 [28]

Answer:

y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Step-by-step explanation:

<u>Given Second-Order Homogenous Differential Equation</u>

y''+6y'+10y=0

<u>Use Auxiliary Equation</u>

<u />m^2+6m+10=0\\\\(m+3)^2+1=0\\\\(m+3)^2=-1\\\\m+3=\pm i\\\\m=-3\pm i

<u>General Solution</u>

<u />y=e^{pt}(A\: cos\: qt+B\:sin\:qt)\\\\y=e^{-3t}(A\: cos\: t+B\:sin\:t)

Note that the DE has two distinct complex solutions p\pm qi where A and B are arbitrary constants.

4 0
2 years ago
X - y= -4 -2x +3y =6
STatiana [176]

Answer:

<em><u>x=-6, y=-2</u></em>, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.

Step-by-step explanation:

By substitution:

x-y=-4    By adding y on both sides,

x=y-4

Now you can substitute x for the expression (y-4)

Plug the (y-4) as x in the other equation.

So -2x+3y=6 becomes

-2(y-4)+3y=6

Now solve:

-2(y-4)+3y=6 distributes out to be

-2y+8+3y=6     Now combining like terms

y+8=6              Subtract 8 on both sides to isolate the variable

<u><em>y=-2</em></u>

Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.

So x-y=-4 becomes

x-(-2)=-4

=x+2=-4

=<u><em>x=-6</em></u>

3 0
3 years ago
Can you pls put in order I need help ASAP :3 thanks if you can. I will make Brainly
Brums [2.3K]

Answer:

This might get confusing but bear with me.

The top two are correct, leave them where they are. The 6th one down is step three, the 8th one down is step four, the 3rd one down is step five, the 4th one down is step six, the 7th ne down is step seven so leave it alone, and the 5th one down is step 8.

7 0
3 years ago
ILL MARK BRAINLY!!
Finger [1]

Answer:

D

Step-by-step explanation:

When you put something in parenthesis by a number, your multiplying each individual number by the number outside of parenthesis. Therefore, 5(2) = 10 and 5(7) = 35 and that equals 45, and 5(2+7) you distribute the 5 to both numbers and get 10+35 which equals 45 aswell.

7 0
3 years ago
Read 2 more answers
In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ). What is the cost per ounce?
Nastasia [14]

Solution:

we are given that

In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ).

we have been asked to find the cost per ounce?

As we know that

16 oz=1 lb

so we will divide by 16 to get the cost per ounce.

strawberries cost $6.40 per pound so for 1 oz it will cost =\frac{6.40}{16}= 0.4$

Hence cost per ounce is 0.40 $

4 0
3 years ago
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