Solve the simultaneous equations by substitution
8x – 3y = 5
3y = 2x + 1

Answers

Answer 1

Answer:

x = 1

y = 1

Step-by-step explanation:

this should be your answer

Solve The Simultaneous Equations By Substitution8x 3y = 53y = 2x + 1
Answer 2

Answer:

(1, 1 )

Step-by-step explanation:

Given the 2 equations

8x - 3y = 5 → (1)

3y = 2x + 1 → (2)

Substitute y = 2x + 1 into (1)

8x - (2x + 1) = 5

8x - 2x - 1 = 5

6x - 1 = 5 ( add 1 to both sides )

6x = 6 ( divide both sides by 6 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

3y = 2(1) + 1 = 2 + 1 = 3 ( divide both sides by 3 )

y = 1

solution is (1, 1 )


Related Questions

Select all the ordered pairs that are solutions to the system.

Answers

Answer:

WHAT DOES BRAINLEST MEAN???

Step-by-step explanation:

110 cm
50 cm
140cm
y у
180 cm

Answers

Answer:

its a little hard sorry I dont know

He starts from school, which is at the location indicated by the point on the grid above. He then walks to the library 5 units west. After the library, he goes to the gym, which is 6 units north. From the gym, he goes to his guitar class, which is 3 units west. Which of the following is the location of his guitar class?

Answers

Answer:

So, David's guitar class is located at point (-6,2) on the coordinate grid.

Step-by-step explanation:

David starts from school, which is two units to the right and four units down from the origin. This location is indicated by the point (2,-4).

He walks 5 units west to the library.

So, find the point that is 5 units to the west of point (2,-4). Distances east and west on the grid represent a change in the x-coordinate. Moving 5 units to the west on the grid from point (2,-4) places the new location at point (-3,-4).

He then walks 6 units north to the gym.

So, find the point that is 6 units to the north of point (-3,-4). Distances north and south on the grid represent a change in the y-coordinate. Moving 6 units to the north on the grid from point (-3,-4) places the new location at point (-3,2).

David then walks 3 units west to his guitar class.

So, find the point that is 3 units to the west of point (-3,2). Moving 3 units to the west on the grid from point (-3,2) places the new location at point (-6,2).

Please open the document to see the picture of the triangle. Find the area of the triangle. Remember: 1/2bh (1/2 x b x h). Also, remember to label your answer.

Answers

Answer:

So the answer is 12cm square

Step-by-step explanation:

Base is 6cm and hight is 4 so 6×4 is 24÷2 is 12

Please find the markup selling price
1. Shorts $20
25% discount
Sale price:

Answers

20(1-p)
20(1-0.25)
20(0.75)
=15
so the sale price is $15
hope this helps !
The answer is 15$ :)

Find the volume of the given shape. Round your answer to the nearest
hundredth if necessary.*

Answers

Answer:

Step-by-step explanation:

It is a sphere with radius r = 5 cm

volume = (4/3)πr³

  = (4/3)π(5³)

  ≅ 523.60 cm³

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12
pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.

Answers

Answer:

A 12 pound baby is equivalent to 5.4kg, while a watermelon weighs 7.5kg, which is obviously larger than 5.4, so the watermelon weights more.

Step-by-step explanation:

To start off, we should convert the numbers in the same units. The question has told us that 1 pound is around 0.45kg. So let's do 12  * 0.45 which gives us 5.4kg. We already know that a watermelon weighs 7.5 kilograms, so from this we know that the watermelon weighs more.

Please help me !!!!!!

Answers

Answer:

KFHDJKGHFGBO

Step-by-step explanation:

If 1/3 = 1/A+1/B where A and B are different whole numb rs, find the value of both A and B.
(working)​

Answers

The answer is 4 and 12

The quickest way in this one was to just start checking while numbers as A until you get one for B, you know both A and B have to be greater than 3 for their inverse to create smaller fractions to add up to 1/3, in this case you would test 4 first giving you 1/3=1/4+1/B then see if B being their common denominator gives the right solution to the equation 1/3=1/4+1/12 Becomes 4/12=3/12+1/12 which does work out

PLS HELP I'LL MARK BRAINLIEST !!!!! ASAP PLS !!

Answers

The awnser to this is a your welcome
Answer =11

5x + 90+3x+2=180
5x+3x+2+90=180
8x+92=180
8x=180-92
8x=88
x=88/8
x=11

Please Help me! ASAP

Answers

Your answer would be 44

A trapezoidal window is 8 feet tall and has base lengths of 1 foot and 7 feet. What is the area of the window? The area of the window is _____ square feet.


Can you help me do it.

Answers

Answer: 32 ft²

Step-by-step explanation:

The area of a trapezoid is calculable using the formula:

= (a + b)/ 2 * height

Where a and b are the base lengths.

= (1 + 7) / 2 * 8

= 8/2 * 8

= 4 * 8

= 32 ft²

Find the GCF of 2yz and 8yz.

Answers

Answer:

The GCF of 2yz and 8yz is 2yz.

Step-by-step explanation:

The GCF (greatest common factor) is the greatest number that is a factor of two (or more) other numbers. Basically, the greatest number two or more numbers can both be divided by,

In the case of 8yz and 2yz, both can be divided by 2yz.

I would appreciate brainliest, if not that's ok!

Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?

Answers

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

EASY BRAINLY/ POINTS!! PLEASE HELP

Answers

Answer: The answer would be x = 19/3, 5/3

Step-by-step explanation:

Since we are finding the x intercepts, we must set the equation to equate 0. So:

0 = 3 |x-4| - 7

Then, we want to simplify the right side so it is just the absolute value, so lets start by adding 7 to both sides.

0 = 3 |x-4| - 7

+7              +7

7= 3 |x-4|

Now we divide both sides by 3.

7= 3 |x-4|

3        3

7/3 = |x-4|

Now, due to the properties of absolute value, we must solve this twice, since absolute value always leads to a positive value, we want to set up one equation where 7/3 is positive and one where it is negative.

7/3 = x-4        -7/3 = x-4

add 4 to both sides

7/3 = x-4        -7/3 = x-4

+4      +4          +4     +4

Then, you get your two x values

x= 6.333... or 19/3 AND x = 1.66666 or 5/3

How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number

Answers

ANSWER:

1 unique triangle

Step-by-step explanation:
There are several ways to determine if the information given about a triangle produces a unique triangle or not. One option is to provide two side lengths and the angle included between them, this is known as SAS (side-angle-side) congruence, this is not to be confused with SSA (side-side-angle) congruence. Since this is one of the groups of givens that provides a unique triangle, then the number of unique triangles that can be drawn is 1 unique triangle.

you invested 1,000 in an account with interest rate at 2% compounded continuously. how long until 1400 is in your account?

Answers

Answer:20 months

Step-by-step explanation:

2% of 1000 is 20 1000-1400=400

400/20=20 so 20 months

What is the inequality shown

Answers

Answer:

Step-by-step explanation:

im sorry ur not showing anything

Let me take this opportunity as a mistake to get 5 points extra thank you very much

In a game, Annie needs three cards that have a sum of 4. Pick on three cards that Annie ​could choose.

A). 2
B). -8
C). 3.5
D). -1.5
E). 1

Answers

Answer:

A, C, and D

Step-by-step explanation:

2 + 3.5 - 1.5 = 4

The answer is C-DA

3.5-1.5=2
2+2+4

Evaluate
4x4+(2x3)x9+11/1

A. -43
B. -24
C. -27

Answers

Answer:81

Step-by-step explanation:

Perimeter/area (triangles) ! PLZ HELP

Answers

Answer:

50ft^2

Step-by-step explanation:

area of triangle ABC=25ft^2

both triangle have equal area and all together it makes a rectangle ABCD so ,

rect. ABCD=25+25=50FT^2

Answer:

12 ft

[tex] 50\: ft^2 [/tex]

Step-by-step explanation:

1) since both the triangles are congruent, so their perimeters will also be equal.

Perimeter of triangle CBD = 12 ft

2) since, both the triangles are congruent, so their areas will be equal.

So, Area of rectangle ABCD = 2*25 = 50 square ft

True/False
Determine whether the following statements define perpendicular lines?

Two lines that form four congruent angles at their intersection

Two lines that form a pair of right angles at their intersection

A pair of lines that form two pairs of complementary angles at their intersection

A pair of lines that meet to form a pair of supplementary angles at their intersection

Answers

Answer:

1st is True, I'm pretty sure

Step-by-step explanation:

At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs

Answers

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

https://brainly.com/question/11901702

Emily can arrange 20 vases of flowers in 6 hours. Find Emily's rate per hour for arranging
flowers.

Answers

Answer:

[tex]3 \frac{1}{3}[/tex] vases per hour

Step-by-step explanation:

To find the unit rate, solve the total amount of vases that Emily arranged divided by the amount of time that Emily took to arrange the vases.

Or, in other words, solve 20 ÷ 6, since Emily arranged 20 vases and it took her 6 hours to complete it.

You can do this by hand or you can do it on a calculator.

After you solved it, you should get [tex]3 \frac{1}{3}[/tex], or 3.33333...

So, Emily's rate is [tex]3 \frac{1}{3}[/tex] vases per hour.

Please mark as Brainliest!!!

PLEASE HELP WITH THIS!

Answers

he can make about 6 shirts

During the American Revolution, women... i need help now please i will give 11 points


1.ran family businesses.

2.cared for the troops.

3.helped raise money for the war.

4.all of the above

Answers

Answer:

its 4 or d

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

anyoneeeeeeee knowwwwww thissdsss

Answers

Answer:

8 ,9,10 they are adding by 4 to get the outputs

Answer:

8,9, and 10

Step-by-step explanation:

Add 4 to them and you get the answer.

Simplify the expression. Make sure all final answers are clearly labeled. Show all work.

3 divided by 2+√5

Answers

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

Please help me 2x+y=2

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Inverse of -2x+2 {x-2}{2}

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014cups
2212cups
2434cups
2512cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

Answers

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

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