Solve the system. 3x - 2y = 12 and 3x - 3y = -2

Answers

Answer 1

Answer:

x = 4 + -0.6666666667y x = 1 + y

Step-by-step explanation:

Simplifying

3x + 2y = 12

Solving

3x + 2y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 12 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 12 + -2y

3x = 12 + -2y

Divide each side by '3'.

x = 4 + -0.6666666667y

Simplifying

x = 4 + -0.6666666667y

Simplifying

3x + -3y = 3

Solving

3x + -3y = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

3x + -3y + 3y = 3 + 3y

Combine like terms: -3y + 3y = 0

3x + 0 = 3 + 3y

3x = 3 + 3y

Divide each side by '3'.

x = 1 + y

Simplifying

x = 1 + y


Related Questions

PLZ HELP ME FAST!!!! 10 points
Analyzing a Scatter Plot
On a graph, points are scattered all over the graph.

Determine if there is a correlation and slope for the scatterplot.

A. positive correlation, positive slope

B. negative correlation, negative slope

C. negative correlation, positive slope

D. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

got it right on edge

Answer:

the answer is D) no correlation

Step-by-step explanation:

Write an expression to match the words: Mr. Ortiz’s age is the sum of 8 and 7, doubled.

Answers

Answer:

(8+7)x2

Step-by-step explanation:

what's 3 3/4 - 7/8? (please help i’m too lazy to do it)

Answers

the answer is 2.875

PLEASE HELP ASAP ILL MARK BRAINLEST

Answers

Answer: B. 7•1/8

Step By Step Explanation:

bc it's the best answer choice:)

Find the radius of the dartboard with a circumference of 333 in.
106 in
53 in
106.1 in
55 in

Answers

Answer:

55,278

Step-by-step explanation:

the radius is half of the diameter- 166.5

circumfrence-3.14(d)

3.14x333=55,278

16. BD is an altitude in AABC find the value of x'if MZADB -
(3x + 15)°

Answers

Answer:

x = 25°

Step-by-step explanation:

Since BD is altitude, BD ⊥ AC

Therefore ∠ ADB = 90°

3x + 15° = 90°3x = 90° -15°3x = 75°x = 75°/3x = 25°

Which problem can be solved using the expression 1/4÷3?

A gardener bought 3 bags of soil and used 1/4 of the soil to plant rose bushes. How much soil did she use to plant the bushes?

A chef used 1/4 cup of cheese to make 3 of her specialty dishes. How much cheese did she use in each dish?

A driver made 3 trips, each using 1/4 tank of gas. How much gas did he use to make the trips?

Three liters of water were poured into a container and 1/4 liter leaked out. How much water is in the container now?

Answers

Answer: A chef used 1/4 cup of cheese to make 3 of her specialty dishes. How much cheese did she use in each dish?

Step-by-step explanation:

Hope it helped you!!

Answer:

a.

Step-by-step explanation:

3 bags of soil divided by 1/4 used = how much used soul out of the 3 bags.

1\4÷3=amount of used soil

What does b= in mathematics

Answers

bisector. Base. In geometry, the base of a shape is the side (usually the bottom) that forms a right (90 degree) angle with the height of the object. Biannual.

A swimming pool was filling with water at a constant rate of 200 gallons per hour . The pool had 50 gallons before the timer started. write an equation in standard form to model the situation. ​

Answers

Answer:

200x+y=50

Step-by-step explanation:

ax+by=c

 In slope intercept form it would be y=200x+50

You are making a new type of deodorant from two different mixtures the first mixture is 30% smell proof and the second mixture is 80% smell proof to make a safe make sure it needs to be 50% smell proof how much of each makes you need if you want 1000 L total

Answers

Answer:

600 L of 30% proof and 400 L of 80% proof is needed

Step-by-step explanation:

Let the amount of 30% smell proof be x while that of 80% smell proof is y

Then;

x + y = 1000 •••••(i)

Also;

30% of x + 80% of y = 50% of 1000

0.3x + 0.8y = 500 •••••(ii)

From i, x = 1000 - y

Put this into ii

0.3(1000-y) + 0.8y = 500

300 - 0.3y + 0.8y = 500

0.5y = 500-300

0.5y = 200

y = 200/0.5

y = 400 L

But x = 1000 - y

x = 1000 - 400 = 600 L

A cashier contains 53 coins worth $4.40 they are all nickels and dimes right to equations that would be used to solve the system and solve

Answers

Answer:

(n+d=53) (.05n+.10d=4.40)   :)

pls help me!! DUE TODAYY!!
Write an equation for the following problems and then solve:
1. Five times a number added to twelve is nine times the number.
2. Twice the difference of a number and six is the sum of that number and two.
3. Four times a number is three times the difference of that number and one.

Answers

I think i only have 1 and 2.

1) 5x+12=9x

2) 2x=6

x=3

lol i’m not sure abt this tho

PLEASE HELP ILL MARK BRAINLEST

Answers

Answer:

A 5 •1/2

Step-by-step explanation:

Sorry i misunderstood it for a second

Answer:

2/5 I think

Step-by-step explanation:

what is the equation of the line will mark you brainliest

Answers

so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)

(7-(-2))/(0-8)

simplify

9/-8

simplify -9/8

now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.

y=mx+b

-2=(-9/8)(8)+b

multiply (-9/8) by 8 to get -9

-2=-9+b

add 9 to both sides

7=b

so our equation is now

y=-(9/8)x+7

ILL GIVE BRAINLIST
Lydia is deciding between two different movie streaming sites to subscribe to. Plan A costs $5 per month plus $2.50 per movie watched. Plan B costs $24 per month plus $1.50 per movie watched. Let A represent the monthly cost of Plan A if Lydia watches & per month, and let B represent the monthly cost of Plan B if Lydia watches x movies per month. Write an equation for each situation, in terms of x, and determine which plan would be cheaper if Lydia plans on watching 21 movies each month.​

Answers

Answer:

A= 2.50x+52.50x+5

B= 1.50x+241.50x+24

Step-by-step explanation:

Plan B is $2 cheaper than Plan A when watching 21 movies.

Lydia Plan B would be 2 dollars cheaper than plan A.

Equation on each plan are:

A = 2.50x + 5

B = 1.50x + 24

Lydia deciding between two different movie streaming site to subscribe to.

Lydia have two plan, Plan A and Plan B.

What is Linear equation in one variable?

The linear equation in one variable is an equation which is represent in the form of ax + b = c, where a and b are two integers and x is a variable and has only one solution.

Here, Plan A costs $5 per month plus $2.50 per movie watched.

A = 5 + 2.50 x

here, x is movies per month.

And Plan B costs $24 per month  plus $1.50 per movie watched.

B = 24 + 1.50 x

When Lydia plans on watching 21 movies each month.

x = 21

⇒ A = 5 + 2.50 (21) = 57.50

⇒ B = 24 + 1.50 (21) = 55.50

So, Lydia Plan B would be 2 dollars cheaper than plan A.

Learn more about Linear equation visit:

https://brainly.in/question/2123544

#SPJ2

An artist plans a sculpture by stacking two cubes. Write an algebraic expression the artist can use to find the volume of the sculpture. Then find the volume of the sculpture when x = 4cm. *Hint: V=s3

Answers

Answer:

[tex]V= 2x^3[/tex]

The volume is 128cm^3

Step-by-step explanation:

Given

[tex]Cubes = 2[/tex]

[tex]Sides = 4cm[/tex]

Required

Determine an expression for its volume

Find the volume

Volume of a cube is:

[tex]Volume = x^3[/tex]

Where x represents the length of a side

So, volume of 2 cubes would be:

[tex]V= x^3 + x^3[/tex]

[tex]V= 2x^3[/tex]

Solving (b): Volume when x = 4

Substitute 3 for x in [tex]V= 2x^3[/tex]

[tex]V = 2 * 4^3[/tex]

[tex]V = 2 * 64[/tex]

[tex]V = 128[/tex]

Hence, the volume is 128cm^3

You spend $40 on 5 pounds of concrete. How much is 1 pound?

Answers

Answer:

8

Step-by-step explanation:

40 divided by 5 is 8

40/5=8

Write the slope-intercept form an equation of the line that passes through the points (-2,1) and (3,1)

Answers

Answer:

y=mx+b

y=1

Step-by-step explanation:

Which is NOT true?
A 7 + 7 = 19 - 5
B 9 + 9 = 11 + 7
C 19 = 13 + 5
D 20 - 12 = 4 + 4

Answers

Answer:

C

Step-by-step explanation:

13+5=18 not 19 therefore C is not true

The answer is the letter C

How was your guys' Thanksgiving??? It's the first day of December, so that means there's only 24 more days til Christmas!!!! What do you guys want????

Answers

Answer: I want corona to end

Step-by-step explanation:

Answer:

Heres what I want

Step-by-step explanation:

A GOOD 2021

Aditya has $120 in his savings account and Sarah has $180 in her account. Each week Aditya adds $14 to his account and Sarah adds $10 to hers. How many weeks will it be before Aditya and Sarah have the same amount of money saved up? Write an equation and solve.

Answers

120+14x=180+10x
14x-10x=180-120
4x=60
X=15

Please help me with my work

Answers

Answer:

1. y-4=2(x-2) 2.y-4=1/3(x- -4)

Step-by-step explanation:

Point slope form can be written as y-y1=m(x-x1)

(x1,y1) represents the coordinates provided

m= the slope, which is also provided in the question

Simply fill in the provided numbers into the point slope form equation

hope this helps and take care

2x² – 5x-3
Quadratics all work has to be shown

Answers

Answer:

(2x+1)(x-1)

Step-by-step explanation:

2x² – 5x-3

2x²+x-6x-3

x(2x+1)-3(2x+1)

(2x+1)(x-1)

Manny is buying new clothes for school. He buys three shirts for $14.95 each and a tie for $12. Everything in the store is on sale for 15% off. What is Manny's total cost?

Answers

Given:

Cost of each shirt = $14.95

Cost of a tie = $12

Discount on Sale = 15% off

Manny buys three shirts and a tie.

To find:

The Manny's total cost.

Solution:

We have,

Cost of 1 shirt = $14.95

Cost of 3 shirt = 3 × $14.95

                       = $44.85

Cost of a tie = $12

Total cost before discount = Cost of 3 shirt + Cost of a tie

                                            = $44.85 + $12

                                            = $56.85

Everything in the store is on sale for 15% off. So,

[tex]\text{Manny's total cost}=56.85-\dfrac{15}{100}\times 56.85[/tex]

[tex]\text{Manny's total cost}=56.85-0.15\times 56.85[/tex]

[tex]\text{Manny's total cost}=56.85-8.5275[/tex]

[tex]\text{Manny's total cost}=48.3225[/tex]

Therefore, the Manny's total cost is $48.3225.

pleaseee helppp ASAPP

Answers

Answer:

(-4,22)

Step-by-step explanation:

Answer:

(- 4, 22 )

Step-by-step explanation:

To determine which point lies on the graph, substitute the x- coordinate of the point into the equation and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

(1, - 2 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 2 ← not on graph

(- 4, - 10 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ≠ - 10 ← not on graph

(- 4, 22 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ← lies on graph

(1, - 10 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 10 ← not on graph

9. the learning modalityyou prefer this new normal a.modular learning b.online learning c.digital learning​

Answers

Answer: A module learning

Step-by-step explanation:

Answer:

Modular education partitions degrees into smaller, Lego-like building blocks of learning, each with their own credentials, learning and skills outcomes. ... Modular learning also enables lifelong learning because working professionals are able to learn new skills in shorter amounts of time, even while they work. So why I like it

Step-by-step explanation:

(FREE BRAIN POINTS) NEED HELP) (FIRST ANSWER GETS BRAINLIEST) If triangle ABC△ A B C is similar to TRIANGLE D E F△ D E F, which of the following does NOT represent the relationship between the sides of the two triangles?

Answers

can you put the answer choices please

Answer:

g

Step-by-step explanation:

its like 80 perent sure

whoever answers first gets brainliest

Answers

Answer:

A is the answer

Step-by-step explanation:

Help please, need to show work.

Answers

9514 1404 393

Answer:

  3.  m∠A < 80°

Step-by-step explanation:

The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.

If we assume that angle measures cannot be zero, then we must have ...

  m∠A +m∠N = 80°

  m∠A = 80° -m∠N

Since m∠N > 0, the measure of angle A must be less than 80°.

This conclusion matches choice 3.

5
A line passes through the point (-4, 2) and has a slope of
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{5}{4}x+7[/tex]

Step-by-step explanation:

We can start by setting up what we know of the slope-intercept equation, which is the slope.

[tex]y=\frac{5}{4}x+b[/tex]

Now, we can use the given point to find the y-intercept.

[tex]2=\frac{5}{4}(-4)+b\\ 2=-5+b\\b=7[/tex]

And now we are able to write the slope-intercept equation.

[tex]y=\frac{5}{4}x+7[/tex]

I hope this helps!

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