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Solve the following system of equations algebraically using the ELIMINATION METHOD. Show all work.
x-3y=1
3x-5y=11

Answers

Answer 1

Answer:

(7,2)

Step-by-step explanation:

Multiply the first equation by -3

(x-3y=1)  = -3x+9y=-3

Combine like terms with the new equation and the second equation

(-3x+9y=-3) + (3x-5y=11)   = 4y=8

Divide each side by 4

4y/4=8/4

y=2

Plug in 2 for y in any equation. It doesn’t matter which one

x-3(2)=1

Distribute

x-6=1

Add 6 to both sides

x-6=1

+6  +6

x=7

Answer 2

Answer: x = 7 y = 2

(7, 2)

Step-by-step explanation:

Multiply the first equation by -3 and the second by 1:

-3(x - 3y = 1)

1(3x - 5y = 11)

Becomes:

-3x + 9y = -3

3x - 5y = 11

Add the equations to eliminate x:

-3x + 9y = -3

3x - 5y = 11

4y = 8

Solve for y by dividing by 4:

4y/4 = 8/4

y = 2

Now we plug in y to the first equation:

x - 3 ( 2 ) = 1

x - 6 = 1

Add 6 to both sides:

x - 6 + 6 = 1 + 6

x = 7


Related Questions

which represents the solution to this equation?
[tex] \sqrt{x =} 121[/tex]

Answers

Answer:

14641

Step-by-step explanation:

[tex]\sqrt{x} =121\\x = 14641[/tex]

HeIpheIp heIp hep heIp heIp heIpheIp heIp

Answers

Answer:

Area of sector ≈ 15.6π (nearest tenth)

Step-by-step explanation:

Given:

radius = 5 cm

Central angle in radians = ∅ = 5π/4

Required:

Area of the sector

Solution:

Area of sector = ½*r²*∅

Plug in the values into the formula

Area of sector = ½*5²*5π/4

= ½*25*5π/4

= 12.5*5π/4

= (12.5*5π)/4

Area of sector = 15.625π ≈ 15.6π (nearest tenth)

On the day of a child’s birth, a deposit of $25,000 is made in a trust fund that pays 8.75% interest, compounded continuously. Determine the balance in this account on the child’s 25th birthday.

Answers

9514 1404 393

Answer:

  $222,822.57

Step-by-step explanation:

The account balance is given by ...

  A = P·e^(rt)

where P is the principal invested at interest rate r for t years.

  A = $25,000×e^(0.0875·25) ≈ $222,822.57


A driver travels 288 miles in 6 hours. What is the driver’s speed, in miles per hour? Is it 48? I got 48

Answers

Answer:

48

Step-by-step explanation:

288 divided by 6 is 48 and how you get mph is todal miles in 1 hr

The speed of the driver for the entire journey is 48 miles per hour.

The given parameters;

distance traveled by the driver, d = 288 milestime of motion, t = 6 hours

Speed is defined as the ratio of total distance traveled by the total time of motion.

The speed of the driver for the entire journey is calculated as follows;

[tex]speed = \frac{distance}{time} \\\\speed = \frac{288 \ miles}{6 \ hours} \\\\speed = 48 \ miles \ per \ hour[/tex]

Thus, the speed of the driver for the entire journey is 48 miles per hour.

Learn more here:https://brainly.com/question/23774048

elimination method
x-5=-y
3x-10=2y​

Answers

Answer:

(4,1)

Step-by-step explanation:

Multiply the first equation by -3

(x-5=-y)*-3 = -3x+15=3y

Then combine like terms with the new equation and the second equation

(-3x+15=3y) + (3x-10=2y) = 5=5y

Divide 5 by both sides

1=y

Plug in 1 for y in an equation. Doesn’t matter which one and solve

x-5=-(1)

Distribute the negative sign to the 1

x-5=-1

Add 5 to both sides

x=4


X-5= -y
-X+5=y
-4+5=y
1=y

3X-10=2(-2+5)
3X-10= -2X+10
3X+2X=10+10
5x=20
X=4

What is the measure of the missing angle

Answers

Answer:

41°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let x be the missing angle, then sum the angles and equate to 180°, that is

87° + 52° + x = 180°

139° + x = 180° ( subtract 139° from both sides )

x = 41°

Which of the following terms are constants in the following equation: 13x + 5y - 2 = 3. Select all that apply.

A. 13
B. 3
C. -2
D. 5

Answers

C.-2 calculated it your welcome
-2 because it does not have a variable attached that can make it larger or smaller

Need help 20-24 anything helps

Answers

I’ve attached the work done on the paper
Hope this helped!

Simplify the expression (2 + 3i) + (3 – 5i).
o
A. 5- 2i
B. 5 + 2i
C. 5i + 15
D. 13
E. 3

Answers

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i

will give brainlesr please help im 25% blind

Which statement is true about the following pair of rectangles?

Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.

Answers

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle     ( 3 )  is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle  ( 6 )  is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

Como se escribe el numero 32.7548 en fracicion decimal

Answers

Answer:

Así es como lo escribes ^_^

Step-by-step explanation:

32.755

y si no lo siento

Answer:

Treinta y dos con siete mil quinientas cuarenta y ocho diéz milésimas y mil.

Espéro que te sirva!

PLS HELP:(

Find the volume of this figure.

Answers

Answer:

565.49

Step-by-step exp

i just got it from a caculator... i may not be correct lol sorry

8th grade math pls help and show work i’ll give brainliest

Answers

Answer:

B) -8

Step-by-step explanation:

Slope is rise/run, or the difference in y over the difference in x, so to solve this:

Take the y value of one of the points and subtract it from the other, and divide it by the same thing with the x values

[tex]\frac{9-1}{6-7} =\frac{8}{-1} =-8[/tex]

The volume of a gas was measured as
its temperature was increased from 10°K
to 15°K at intervals of 1°K. The volumes
were 1.5, 2.2, 3.38, 5.1, and 7.6 cm.
Would a linear or exponential function
better approximate the data described?
Explain why.

Answers

Snsndndsnddnddnndjdd

Someone pls explain this to me I’ll give brainliest,, Find the area of this circle. Use 3 for a.
A = ar2
14 in
[?] in2

Answers

Answer:

A = 588 in^2

Step-by-step explanation:

"a" is actually the sign for Pi, which is a set ratio of 3.14159.

The instructions say to use just 3 for Pi in this question though.

A = (3)14^2)

A = (3)(14)(14)

A = 588 in^2

The local acting group has 35 members. They are carpooling in 5 vans to perform a show. They want each van to carry an equal number of people. Let p be the number of people in each van. Write a one-step multiplication equation to find the number of people in each van

Answers

Answer:

5 times x = 35 so x = 7

Step-by-step explanation:

9 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

The last statement is true

Step-by-step explanation:

B :))))))))))))!!!!!1!1!1

it is 2 am

help

a


x*y=11
but
x+y=12
what is x and what is y

Answers

Answer:

x= 11

y= 1

#CarryOnLearning

Find the simple Interest
I=?
P=$1300
R= 5%
T=6 years
$390
$1690
O $39000



Answers

Answer:

Step-by-step explanation:

P =$ 1300

R = 5% = 0.05

T = 6 years

I = P * R *T

 = 1300 * 0.05 * 6

 = $ 390

On a day in the month of February the temperature in barrow Alaska is 221*f at the same time the temperature in northway Alaska is 213*f

Answers

Give the Full Question then I will solve it..

20 Points!!! Math Question

Answers

Here is how to do the question,

The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.

Hope that helps!!!!

Answer:

Remainder Theorem starts with an unnamed polynomial p(x), where p(x) just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in, For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials

please help! just tell me the letter answer please :(

Answers

Answer: B. 5

Hope this helps! :)


Find the inequality represented by the graph.

Answers

Answer:

y= -1/3x+1

Step-by-step explanation:

Angle A is a supplementary to Angle B. If < b = 65 degrees what is the value of x if < A = 5x -20 ?

Answers

Answer:

x = 27

Step-by-step explanation:

Supplementary angles add up to 180 degrees

65 + 5x - 20 = 180

45 +5x = 180

5x = 135

x = 27

need help with questions 15 and 16 please

Answers

Answer:

#15: y = -5x -4

#16: y = 2/5x -4

Step-by-step explanation:

Lets start with #15:

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -4.

Substitute in the Slope-Intercept Form Equation:

y = mx -4

Pick another point and substitute its x and y values in this equation.

I chose (-1,1) and substituted as 1 = m(-1) -4

Isolate m:

1 + 4 = -m - 4 + 4

5 = -m

m = -5

The Equation in Slope Intercept Form is y = -5x -4

Let's do #16.

Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

First we can locate the y-intercept, or where the line passes through the y-axis.

The y-intercept is -4.

Substitute in the Slope-Intercept Form Equation:

y = mx - 4

Pick another point and substitute its x and y values in this equation.

I used Fractional Points as Whole ones were not seen.

I chose (5/2,-3) and substituted as -3 = m(5/2) - 4

Isolate m:

-3 + 4 = 5m/2 - 4 + 4

1= 5m/2

m=2/5

The Equation in Slope Intercept Form is y = 2/5x - 4

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

           -Aadi x

please help!!!!! thank you

Answers

Answer:

b

Step-by-step explanation:

Bernie bought a pair of shoes at the store when they were having a 30% off sale. If the
regular price of the pair of shoes was $42, how much did Bernie pay?
A) $12.60
B) $29.40
C) $24.00
D) $15.30

Answers

It’s $12.60 dollars!!!

What's 2+2 equal to?

Answers

Answer:

4

Step-by-step explanation:

Answer:

Answer is 4.

Step-by-step explanation:

I hope it's helpful!

una fabrica necesita saber cual es el material favorito de las mujeres para su ropa. para tal fin realiza una encuesta entre algunas señoras. los resultados se representan en el digrama de barras
algodon: 5%
drill:20%
pana:15%
tela:30%
jean:45%

a. realiza la distribucion de frecuencias y el diagrama circular
b. identifica la moda e interpretala de acuerdo con la situcacion

Answers

Answer:

la moda es el jean ya que es lo que mas se repite, osea lo que prefieren

de los datos podemos deducir que se encuestaron a 115 mujeres de las cuales el 17% prefiere dril, el 4% prefiere algodon, el 13% prefiere pana, el 26% prefiere tela y por ultimo el 39% prefiere el jean

para un total de 100%Step-by-step explanation:

- 18
10
- 11 -

What’s the area of the shape and numbers ?

Answers

Answer:

1,980 would be the area and the perimeter would be 39 im pretty sure

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