How to solve this equation?

How To Solve This Equation?

Answers

Answer 1

It says use the substitution method, so you would take the bottom equation, and since it says that x is equal to that, you would use that equation in place of the x in the top equation. so it would be 9y = 3(3y+3) - 9. You then distribute the 3 into the 3y +3, which gets you 9y = 9y + 9 - 9, which is also 9y=9y. Subtract 9y to get 0 = 0, which just means that there are infinite solutions to this equation. Whenever you get 0 = 0, all that means is that there are infinite solutions to this particular set of equations. Hope this helped!

Answer 2

Answer:

y=y

x=3y+3

Step-by-step explanation:

[tex]\left \{ {{9y=3x-9} \atop {x=3y+3}} \right.[/tex]

[tex]9y=3x-9[/tex]

Plug the second equation [tex]x=3y+3[/tex] into the above equation as x

[tex]9y=3(3y+3)-9[/tex]

Open up the brackets

[tex]9y=3(3y+3)-9\\9y=9y+9-9\\9y=9y\\y=y[/tex]

This system of equations has infinitely many solutions.

When graphed, the two lines will overlap each other.

Therefore, y=y and x=3y+3.

I hope this helps!


Related Questions

a one digit whole number greater than 0 is multiplied by 10^5. how many zeros will the product have?

Answers

Answer:

5

Step-by-step explanation:

Which in the following terms mean addition

Answers

Answer:

I think total of is right answer

total of
“of” usually means multiplication

Natalie's aunt gave her $47 to spend on clothes at the mall. She bought 4 shirts that cost $4 each and a pair of pants that cost $13. How much money does Natalie have left to buy more clothes?

Answers

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18

what expressions from the table are equivalent to that expression ?

Answers

Answer:

Step-by-step explanation:

11). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}[/tex]

    = [tex]p^{\frac{6}{10}}\times \sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}[/tex]

    = [tex]\sqrt[10]{p^{10}}[/tex]

    = p

    Yes

12). [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}[/tex]

     But, [tex]\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}[/tex]

     No

13). Since, [tex]p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p[/tex]

   Simplify the given expression,

   [tex]\sqrt[10]{p^{\frac{23}{5}}}[/tex]

    [tex]\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}[/tex]

    No.

14). [tex]p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p[/tex]

    No.

15). [tex]p^{24}\neq p[/tex]

    No.

please help thank you :)​

Answers

[tex] \: \: \: \: \: \: \red{ \underline{ \large{ \pink{ \tt{꧁ A \: N \: S \: W \: E \: R ꧂}}} }}[/tex]

✧ [tex] \underline{ \underline{ \large{ \red{ \tt{G \: I\: V \: E\: N}}}} }: [/tex]

AC bisects [tex] \tt{ \angle BAD\: \& \: \angle \: BCD}[/tex]

❀ [tex] \underline{ \underline{ \large{ \tt{ \purple{T \: O \: \: F \: I\: N\: D}}}}} : [/tex]

Congruence theorem which justifies ∆ ABC [tex] \cong[/tex] ∆ ADC.

♕ [tex] \underline{ \underline{ \large{ \tt{ \orange{P \: R\:O \: O \: F \: S}}} }}: [/tex]

[tex]\begin{array}{ |c| c | c | } \hline \text{SN}& \text{Statement} & \text{Reason}\\ \hline \\ \text{1 \: i.}& \sf{In \triangle} \:ABC \: \& \: \triangle \: ACD \: \ \\ & \tt{ \angle ACB= \angle \: ACD(A)}\ & \sf{AC \: bisects \angle \: BCD(Given)} \\ \text{ii} \: & \tt{AC= CA(S)}& \sf{Common \: side} \\ \text{iii} \: & \tt{ \angle \: BAC = \angle \: CAD(A)}& \sf{AC \: bisects \: \angle \: BAD ( Given )}& \\ \\ \hline 2& \tt{ \triangle} \: ABC \cong \triangle{ADC}& \red{\underline{\sf{ \bold{By \: ASA\: axiom}}}} \\ \hline\end{array}[/tex]

Hence , We can conclude :

ASA congruence theorem justifies ∆ ABC [tex] \cong[/tex] ∆ ADC

ツ Hope I helped! ♡

♪ Have a wonderful day / night ! ✎

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \:Learning}}} ☃ [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3x + 2y = 1 4x + 3y = -2 Elimination ​

Answers

Answer:

x=7 y=-10 this is ur answer

Anybody who want extra points I can give it too you, NOT A JOKE I AM SERIOUS.
Just answer this question:

Answers

Answer:

? 40.50

Step-by-step explanation:

90 ÷ 20 × 9 = 40.5

Answer:

cost of 9article is 40.50

hope it helps.

How does 0.07/2.8 equal the same answer as 7/280?

Answers

Answer:

4.065

Step-by-step explanation:

40.6 divide by 5 so answer is 4.065

Answer:

Step-by-step explanation:

0.07/2.8 = 0.025

7/280 = 0.025

Yes they are same because their answer is same

Halley’s Comet can be seen from Earth every 75 years. What type of sequence is formed by the years Halley’s Comet can be seen? arithmetic geometric or neither

Answers

Answer:

Arithmetic

Step-by-step explanation:

Answer:

Arithmetic

next answer is 2061

Can someone help me with this please

Answers

Answer:

46.5

Step-by-step explanation:

With perimeter you can just add up all the sides.

C-D=7.4

D-E=14

E-F=12.1

F-C=13

     =46.5

Which is the equation of a parabola with vertex (0,0) and directrix y= 4

a. Y^2 = -8x
b. Y^2 = -16x
c. X^2 = -8y
d X^2 = -16y

Answers

Answer:

D. [tex]x^{2} = -16\cdot y[/tex]

Step-by-step explanation:

The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:

[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)

Where:

[tex]y[/tex] - Dependent variable.

[tex]x[/tex] - Independent variable.

[tex]p[/tex] - Focus distance.

If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].

Hence, the right choice is D.

Point B has coordinates ​(3​,1​). The​ x-coordinate of point A is negative 1. The distance between point A and point B is 5 units. What are the possible coordinates of point​ A?

Answers

Answer:

Given in quesion:Point B (3,1) and point A is -1. Distance between A and B is 5 units.

Using distance formula for AB we obtain,

AB^2=(x2-x1)^2 + (y2-y1)^2

5^2=(3+1)^2 + (1-y)^2

25-16=(1-y)^2

9=(1-y)^2

1-y=3

y= -2

Therefore the possible co-ordinates of A are(-1,-2).This is your required answer.

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 3 cm. Find the area if shaded region. Use the value 3.14 for pie, And do not round your answer.

Answers

Answer:

0.9675sq.cm

Step-by-step explanation:

Find a related diagram attached

Area of the shaded region = Area of rectangle - area of semicircle

Area of rectangle = 3cm * 1.5cm

Area of rectangle = 4.5sq.cm

Given

diameter of the semicircle = 3cm

area = πd²/8

Area of the semicircle = 3.14(3)²/8

Area of the semicircle = 3.5325sq.cm

Area of the shaded region = 4.5 - 3.5325

Area of the shaded region = 0.9675sq.cm

Solve using distributive property:
-2/5*3/2+5/3*9/10-3/2*4/5

Answers

Answer:

Answer Down Below

Step-by-step explanation:

The answer to your question is -0.3.

Please help thank youu!

Answers

Answer:

the answer would be 11. bc 2 x 3=6 + 5= 11

U have to substitute the y for 3

Answer:Y = -7

Step-by-step explanation:

someone please help im gonna fail

Answers

Answer:

The order will be 2, 3, 4 & 1

Answer:

Juana lee Ann Jackson ryne

Step-by-step explanation:

can i have brainly

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

II and III

Step-by-step explanation:

Causation always means coorelation, but corelation doesn't always mean causation.

Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.

Therefore, only II and III are correct.

The line has slope 3 and passes
through the point (-2,-5).

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + b

-5 = 3(-2) + b

-5 = -6 + b

1 = b

Find the value of x that makes the equation true
3(-2 + 1 ) + 5 = 3x -4 - 5x

Answers

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

Reason

[tex]3( - 2 + 1) + 5 = 3x - 4 - 5x \\ open \: the \: bracket \: at \: the \: lhs \\ - 6 + 3 + 5 = 3x - 4 - 5x \\ 2 = 3x - 4 - 5x \\ collect \: like \: terms \\ 2 + 4 = 3x - 5x \\ 6 = - 2x \\ 2x = - 6 \\ divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 6}{2} \\ x = - 3[/tex]

Find the magnitude of a vector with initial point A(3, 4, 10) and terminal point B(8, 4, –2).

A: 0
B: 13
C: 8
D:16

Answers

Answer:

B

Step-by-step explanation:

Use the distance formula in 3 dimensions

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2 }[/tex]

with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)

d = [tex]\sqrt{(8-3)^2+(4-4)^2+(-2-10)^2}[/tex]

   = [tex]\sqrt{5^2+0^2+(-12)^2}[/tex]

    = [tex]\sqrt{25+144}[/tex]

    = [tex]\sqrt{169}[/tex]

     = 13 → B

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

put this in least to greastest

Answers

Answer:

3, 1, 4, 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-10, [tex]\sqrt{100}[/tex] , 11.5, [tex]\sqrt{220}[/tex] .

Step-by-step explanation:

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

A=13*6 -5*3

A=78-15

A= 63

Step-by-step explanation:

Step 1- 4×3=12

Step 2- 4×3=12

Step 3- 13×3=39

Step 4- 12+12+39=63

Answer-63cm^2

A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

77 m

Step-by-step explanation:

The 2 situations are similar , so the ratios of corresponding sides are equal.

let h be the height of the tower, then

[tex]\frac{2.9}{h}[/tex] = [tex]\frac{1.77}{47.25}[/tex] ( cross- multiply )

1.77h = 137.025 ( divide both sides by 1.77 )

h ≈ 77 m ( to the nearest metre )


A linear function has a y-intercept of -9 and a slope of 7/3. What is the equation of the line?

Answers

Answer:

D

Slope is 7/3so in front and - 9 is y intercept so is after

HELP!!!! WILL GIVE BRAINLYIST

Answers

Answer:

1.071

Step-by-step explanation:

[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]

Some answer this please

Answers

Answer:

-15/4 = y

Step-by-step explanation:

3x-8y=39

3*3-8y=39

9-8y=39

y=-15/4

If the function y=1/x is translated to the left 2 units and up 6 units, what is the new horizontal asymptote

Answers

Answer:

y=6

Step-by-step explanation:

The horizontal asymptote for y = 1/x is the x-axis, y = 0.

Shifting the graph up 6 makes the asymptote move up, too, to y = 6.

See the attached image:

y = 1/x is purple

y = 1/(x + 2) + 6 is black

5. At Ripona Middle School, there are 645 students,
in the student body. There is 258 girls. What
Percent of the students are boys?

Answers

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

Don bought four tomato plants that cost $2.38 each he paid $0.76 sales tax how much change will he receive from $10

Answers

He will pay 0.28 dollars
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