Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1

Answers

Answer 1

Answer:

(-2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -2

2x + 3y = -1

Step 2: Rewrite Systems

Find LCM of both equations.

[1st Equation] Multiply everything by 2:                                                        6x + 8y = -4[2nd Equation] Multiply everything by -3:                                                    -6x - 9y = 3

Step 3: Redefine Systems

6x + 8y = -4

-6x - 9y = 3

Step 4: Solve for y

Elimination

Combine 2 equations:                                                                                    -y = -1[Division Property of Equality] Divide -1 on both sides:                               y = 1

Step 5: Solve for x

Define original equation:                                                                               3x + 4y = -2Substitute in y:                                                                                                3x + 4(1) = -2Multiply:                                                                                                           3x + 4 = -2[Subtraction Property of Equality] Subtract 4 on both sides:                       3x = -6[Division Property of Equality] Divide 3 on both sides:                                x = -2

Related Questions

if a recipe has 3/8 cups of water and 2 cups of flour what is the ratio and then what is the ratio in a fraction or simplified? PLEASE HELP WITH A REAL ANSWER

Answers

Answer: The ratio of eggs, eggs, to two cups of flour. Let me write two cups of flour. Cups of flour. In either case is, is four eggs for every three cups of flour 5/2

Step-by-step explanation: Im not sure through

In parallelogram BCDE if m EBC=45 find m DEB

Answers

Answer:

x = 135

Step-by-step explanation:

parallelograms have supplementary angles

180 - 45 = 135

Answer:

x = 135 degrees

Step-by-step explanation:

Because this is a parallelogram, the opposite sides are parallel

45 and x = 180 because they are corresponding congruent angles

180-45=135

Hey can anyone pls answer dis math problem!!

Answers

Answer:

Step-by-step explanation:

you have to multiply the bracets by the factor

then add +1 to both sides

Equation :

[tex]y=\frac{-3}{4}x-2[/tex]

yes, it's the same as b

f(x) = 3(x + 1)^2 − 27. Which two equations also represent function f?
1: f(x) = 3x2 + 2x − 26
2: f(x) = 3x2 + 6x − 24
3: f(x) = 3x2 − 24
4: f(x) = 3(x + 4)(x − 2)
5:f(x) = (3x + 4)(x − 8)
6: f(x) = 3(x + 12)(x − 2)

Answers

To much math but I tried to answer it and it’s 5 or 4 or 6

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option C it is sure

,

A

trust me looooooooooll

15•(13 - 7) ÷ (8 - 5) Simplify

Answers

Answer:

30

Step-by-step explanation:

15•(13-7)÷(8-5)

15•(6)÷(3)

90÷3

30

Answer:

30

Step-by-step explanation:

15 x 6 / 3 =

90 / 3 =

30

Hope that helps!

graph the linear equation y = -6x - 5

Answers

here’s my answer from desmos!

this was my answer from demos

7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm​

Answers

Answer:

88 ... .... . ... . . . ... ............... ....

Find the slope of the line between the following points:
(27, 11) and (11, 3)
Record your answer in simplest form.

Answers

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (27, 11) and (x₂, y₂ ) = (11, 3)

m = [tex]\frac{3-11}{11-27}[/tex] = [tex]\frac{-8}{-16}[/tex] = [tex]\frac{1}{2}[/tex]

the slope equals 1/2.

Two cars are 50 miles apart and driving towards each other. One car is driving at a speed of 30 miles per hour and the other car is driving at a speed of 45 miles per hour. How long does it take for the cars to pass each other

Answers

Answer:

40 minutes

Step-by-step explanation:

30x+45x=50

75x=50

x=.6667 hours or 40 minutes

check:

30 mph for 40 minutes=20 miles

45 mph for 40 minutes=30 miles

total=50 miles

I’ll give the Brainliest to who answers these questions with a reasonable explanation.

While surfing the Internet, you find a site that claims to offer “the most popular and the cheapest DVDs anywhere.” Unfortunately, the website isn’t clear about the how much they charge for each DVD, but it does give you the following information:
(The information is the table up there)

a. What is the slope of the line containing the points?

b. What does the slope represent in this problem?

c. What is the y‐intercept of the line that contains the points?

d. What does the y‐intercept represent in this context?

e. What is the equation that represents the line?

Thank you.

Answers

Answer:

Answer:

a. 9

b. The slope represents the cost for every new DVD

c. 6

d. The song represents the base price, or the price that it would cost for 0 DVDs

e. y = 9x + 6

Explanation:

I made a graph on a piece of graph paper and these were the answer I got.

WILL GIVE BRAINLIEST!!!!!!!

2(x+1)^2=12

Answers

Answer:

Step-by-step explanation:

A right triangle has side lengths,8,15,17 and as shown below.
Use these lengths to find, tan b, cos b, sin b

Answers

Remember the chant "soh cah toa"

sine = opposite ÷ hypotheneus

cosine = adjacent ÷ hypotheneus

tangent = opposite ÷ adjacent

remember that hypotheneus is the slanty side, opposite and adjacent side is in COMPARISON with the angle you want to find.

In this case, tan B would be 15/8

sinB = 15/17

cosB = 8/17

A scalene triangle has

A. No line of symmetry
B. one line of symmetry
C. two line of symmetry
D. three line of symmetry ​

Answers

Answer:A

scalene triangle is a triangle that has three unequal sides

Step-by-step explanation:

what is slope of (12.-18) and (-15.-18).​

Answers

Answer:

3

Step-by-step explanation:

The slope (m) is 0.
The formula you’ll use is y2-y1/x2-x1

The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.

Answers

Answer:

The time T takes to buy a fuel at a petrol station varies directly as the number of vehicles V on a quare and inversely as the number of pumps P available in the station. In a station with pumps, it took 10minutes to uel 20 vehicles. Find 1. The relationsip between T, P and V. 2. The time it will take to fuel 50 vehicles in the station with 2 pumps. 3. The number of pumps required to fuel 40 vehicles in 20 minutes.

Which story shows 1/3 divided by 5?

Answers

I don’t know what you mean by “story” but 1/3 divided by 5 is 0.06

30 is 85 percent of what number?

Answers

Divide 30 by 85%

30/0.85 = 35.29411765

Answer:

35 5/17 or 35.29411765

Step-by-step explanation:

30 times 100 divided by 85

Joe bought ,g, gallons of gasoline for $2.85 per gallon and ,c, cans of oil for $3.15 per can. Write an expression that can be used to determine the total amount Joe spent on gasoline and oil.​

Answers

2.85g+3.15c= the total amount Joe spent on gas and oil

hellppp fast plzzzzzz​

Answers

i cant see it that much

Answer:

49? I think

Step-by-step explanation:

find x using the pythagorean theorem

Answers

X= 9.33

Because side x had two intersecting lines that create 90° angles, we can assume that if we cut off the rectangular part of the shape, the other lines would be the same. Now, we are left with the triangular shape. We know that the hypotenuse is 16, but because we got rid of the rectangular part of the shape that had 5 on that side, we have to subtract 18 by 5 to make sure the shape is correct. Now, that side is 13.

Now we solve: 13^2 +x^2=16^2.
169+x^2=256
-169 -169
———————-
X^2=87

Now you square root both sides by 2, getting X= 9.33

Help!!!! What are the unknown angles?

Answers

Answer:

1: 52 for x

2. 96 for x

3. 58 for x

4. 71 for both of the 2 angles, 71 each

Step-by-step explanation:

all triangles add up to 180*, easy to reverse the math

uwu

THIS IS GEOMETRY I ONLY ahve 10 MINUTES PLEASE HELP THANK U

Answers

Answer:

i need a photo or an equation TvT

Step-by-step explanation:

TvT TvT TvT

There’s not question thought :/

Martina bought 4 CDs that were each the same price. Including sales tax, she paid a total of $70.40 . Each CD had a tax of $ 1.10 . What was the price of each CD before tax?

Answers

[tex]1.10 \times 4 = 4.40[/tex]

[tex]70.40 - 4.40 = 66[/tex]

[tex]66 \div 4 = 16.5[/tex]

Each CD was $16.50 before tax

Proof

[tex]total \: cost = 16.5(4) + 1.10(4)[/tex]

[tex]total \: cost = 66 + 4.40[/tex]

[tex]total \: cost = 70.40[/tex]

I need help on this question

Answers

Answer:

The square on the outside of the triangles means the angle is 90. You need to find the base and the hight the divide by 2

Step-by-step explanation:

5. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function in the table.


X F(x)

0 3

3 15

6 27

9 39


A. f (x) = 1/4x + 3

B. f (x) = 4x + 3

C. f (x) = x + 3

D. f (x) = -4x - 3

Answers

Answer:

i can't find the answer

Step-by-step explanation:

The student council was preparing for the wellness sale. The members divided each type of the donated items equally onto plates. Each plate contained only 1 type of item and every plate had exactly the same number of items. There were no leftovers. What is the greatest number of items that could have been placed on each​ plate? Wellness Sale Donations Celery 63 Cucumbers 14 Carrots 35 The greatest number of items that each plate could have is nothing items. ​(Type a whole​ number.)

Answers

Answer:

The greatest number of items on each plate is 7

Step-by-step explanation:

Given

[tex]Celery = 63[/tex]

[tex]Cucumber = 14[/tex]

[tex]Carrot = 35[/tex]

Required

Determine the greatest number of items on each plate

To do this, we simply calculate the GCF of 63, 14 and 35

[tex]63 =3 * 3 * 7[/tex]

[tex]14 = 2 * 7[/tex]

[tex]35 = 5* 7[/tex]

The GCF is:

[tex]GCF = 7[/tex]

Hence:

The greatest number of items on each plate is 7

b/4 = 3.2 help me plz

Answers

Answer:

Step-by-step explanation:

B/4=3.2

B=12.8

PLEASE HELP IM BEING TIMED I WILL MARK BRAINLY
Which inference is reasonable based on the data in the scatter plot?
A If Person A goes to school for 16 years and Person B goes to school for 12 years, Person B can expect to make
more money than Person A.
* If Person B does not go to college and Person A goes to college, Person B will earn more money than Person A.
© If Person A goes to school twice as long as Person B, Person A can expect to make twice as much as Person B.
D
If Person B goes to college and Person A does not go to college, Person B is likely to earn more money than
Person A.

Answers

We don't have the scatter plot

what is the answer for 2x=7

Answers

Answer:

x=3.5

the answer is 3.5 because 7 divided by 2 is 3.5

Other Questions
The diagram below represents a planet revolving in an elliptical orbit around a star.StarPlanet As the planet makes one complete revolution around the star, starting at the position shown, the gravitational attraction between the star and the planet will:O Decrease, then increase.o Increase, then decrease.Continually decreaseRemain the same How Miguel Grau was close from the victory in the Pacific War? There are 9 counters in a bag.7 of the counters are green.2 of the counters are blue.Ria takes at random two counters from the bag.Work out the probability that Ria takes one counter of each colour. How did isolationist view the Lend Lease Act and the Atlantic Charter? Select the correct answer. Which expression of time best completes this sentence? dos aos. Trabajo con mi padre regularmente A. dentro de . desde hace OC. antes de OD para Reset Next why did NASA chose Jezero Crater as the landing site for Perseverance?? (2020) If y varies directly as x and y =6 when x =2 ... find y when x=9 one and sixty three hundreths in decimal form. fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x = Find the missing side length. Round to the nearest tenth.Can someone PLEASE HELP!! que es una carta formal When a soda is poured into a glass and the soda bubbles, is it the result of a chemical change? Explain your answer. What I need to know about Hungary? a^2 + b^2 + 2bc - 2ca - 2ab Which shows one way the equation can be represented in words?z minus 6 = 1.4The difference of a number and z is the same as one and four-tenths.A number subtracted from one and four-tenths is equal to six.Six less than a number is the same as one and four-tenths.Six decreased by a number is equal to one and four-tenths. Solve the equation x-20.7=9.5 for x HELP QUICK whats the domain and range of g(x)=x-3+5 Which of the following is a true statement about cellular respiration? (4 points) Cellular respiration occurs only in plant cells. Cellular respiration occurs only in animal cells. Cellular respiration occurs in both plant and animal cells. Cellular respiration occurs in some plant cells and some animal cells. Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$ .Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .Which statement is true?A The two functions have the same initial value.B The two functions have the same rate of change.C The initial value in function F is greater than the initial value in function E.D The rate of change in function E is greater than the rate of change in function F. The predominant plants found in the savanna are grasses, and there are only a few isolated or small clusters of trees. Which abiotic factor helps to maintain the savanna as a grassland rather than a forest?A Loose Soil B Abundant rainfallC warm temperaturesD lightning Fires PLEASE HELP