Solve the following simultaneous linear equations.
2x + y = 5
4x – 3y = -10​

Answers

Answer 1

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or  y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation    

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

or

2x+y=5

2(1/2)+4=5

1+4=5

5=5


Related Questions

An initial population if 1000 starfish double each year for 4 years. What is the population after 4 years?

Answers

Answer:

16,000 starfish

Step-by-step explanation:

year 0: 1000

year 1: 2000

year 2: 4000

year 3: 8000

year 4: 16000

A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no

Answers

Answer:

that is$ 160 ok alright jf

No because even with 20% off she still wouldn’t have enough to buy it

Find the value of x

Answers

Answer:

1

Step-by-step explanation:

As per circle theorem rule, ∠GDE is twice than ∠GFE

10x +94 = 2 × (x+51)

10x + 94 = 2x + 102

8x = 8

x = 1

∠GDE= 10x+94° = 104°

∠GFE= x + 51° = 52°

Last one

What is the volume, in cubic centimeters, of the cylinder?

A 602.88

B 150.72

C 50.24

D 301.44

Answers

Answer:

A

Step-by-step explanation:

The base of your cylinder has a radius of 4 cm, its area is 16 × 3.14, or 50,24 square centimeters. If that same cylinder is 12 cm tall, its volume is 50,24 × 12 = 602,88 cubic centimeters.

Hope this helps

Kind Regards

Farah Syed

The answer is A ..........

You buy 1.65 pounds of oranges and 2.25 pounds of plums. Oranges and plums sell for the same price per pound. The total​ cost, after using a 65¢​-off ​coupon, is ​$3.64. If c represents the cost of the fruit in dollars per​ pound, what equation could you use to find the value of​ c?

Answers

Answer:

C=(3.64+0.65)/(1.65+2.25)

help with number 2 pls it’s urgent!!’

Answers

Answer:

Step-by-step explanation:

24

Solve m+18+23=71

PLZZZZZ I NEED THE ANSER PLZZZ

Answers

Answer:

m + 18 + 23 = 71

m + 41 = 71

m = 71 - 41

m = 30

Answer:

30

Step-by-step explanation:

m+18+23=71

m+41=71

m=71-41

m=30

WILL MARK BRAINLIEST!!! Please solve the whole page with work!! It will be very much appreciated and I will heart the correct comment and give it 5 stars​

Answers

Answer:

its only 5 points tho :c

Step-by-step explanation:

i need help on these questions i don't know about these

Answers

Answer:

Step-by-step explanation:

1)  Polynomial

2) the 1st choice is correct...  the exponents are in descending order

Answer: question one is option 2 and question 2 is option 1

Step-by-step explanation:

The common factors of 12 and 21 are?​

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

•Factors of 12 are 1, 2, 3, 4, 6 and 12 ... ... because 2 × 6 = 12, or 4 × 3 = 12, or 1 × 12 = 12

•Factors of 21: 1, 3, 7, 21

A school sells chips and candy bars for a fundraiser.



· Each bag of chips sells for 75 cents.



· Each candy bar sells for $1.25



• The school sold fifty more bags of chips than candy bars



• The school made a total of $437.50



How many bags of chips did the school sell?

Answers

Answer: 21

Step-by-step explanation: 21 + 21 = 21

Can someone help please :)

Answers

Answer:

x = 5

Step-by-step explanation:

These triangles are similar, so they are in proportion to each other. Because of this we can say [tex]\frac{2.5}{3.5}[/tex] (the lengths of the vertical sides) = [tex]\frac{x}{7}[/tex] (the lengths of the hypotenuses). If we solve by cross-multiplying the numbers and then dividing  we get x = 5.

find the length of the segment pls help

Answers

Answer: 5.1

Step-by-step explanation:

pythagorean theorem: a^2+b^2=c^2

c^2-b^2=a^2 (switch around some things)

(14.9)^2 - (14)^2 = x^2 (insert values)    c=14.9,b=14,a=x

222.01 - 196 = x^2

26.01 = x^2

5.1 = x

Answer:

x = 5.1

Step-by-step explanation:

The radius of the circle is 14.9

Using Pythagoras' identity in the right triangle on the left where the hypotenuse is the radius

x² + 14² = 14.9²

x² + 196 = 222.01 ( subtract 196 from both sides )

x² = 26.01 ( take the square root of both sides )

x = [tex]\sqrt{26.01}[/tex] = 5.1

u/9+11 at u = -18 can u please show steps?

Answers

Answer:

u = -261

Step-by-step explanation:

Subtract 11 from both sides:

u/9 + 11= -8

u/9 + 11 - 11 = -18 -11

u/9 = -18 - 11

u/9 = -29

u/9 9 = -29 9

u= - 29 9

u = -261

hope i helped

Find the slope of the line that contains (2,-4) and (2,2)

Answers

Answer:

There is no slope. Therefore the answer is undefined

Step-by-step explanation:

2 - (-4)/ 2 - 2 = 6/0

The slope is m=1/2 you can use the formula Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Fill out the table as we did in class for the following:
a) y= 3x + 1
b) y= 2x - 5
c) y = - 2x - 2


All between the values of - 3< x < 3

Answers

Answer:

Step-by-step explanation:

Construct a 2-columned table for each function.  Arbitrarily choose x values to go into the first column, values between -3 and +3:  

Example, for y = 3x + 1:

x    y = 3x + 1    (x, y)

--------------------------------

-2    3(-2) + 1     (-2, -5)

 0     3(0) + 1      (0, 1)

 1

 2

 

x is the "independent variable."  You choose the values, subject to the requirement that -3 < x < +3.  The function will return the y values, which are dependent upon the inputs x.  This will give you a good number (e. g., 5) points to plot.  Draw a line through these points to obtain a graph of

y = 3x + 1.   And so on.  You need to go through this procedure once for each of the 3 given functions.

which equation has solutions of -2 and 3?
A. y= x^2+x-6
B. y= x^2-x-6
C. y=x^2 +5x+6
D. y=x^2-5x+6​

Answers

Answer:

b. y= x^2-x-6

Step-by-step explanation:

i hope this helps :)

help if you can plzz

Answers

Answer:

How?

Step-by-step explanation:

How many sides does a polygon have if the sum of the interior angles is 900∘?

Answers

Answer:

7 slides

Step-by-step explanation:

Sum of exterior angles of any polygon is always 360∘, it can never be 900∘. Hence, there cannot be any polygon like this.

It appears that by error the word "exterior" has been mentioned. In case sum of interior angles is 900∘,

total sum of all the angles is 900∘+360∘=1260∘.

But sum of each pair of interior and exterior angles add up to 180∘

we have 1260∘180∘=7 such pairs

and hence polygon has 7 sides.

Answer:

It's a heptagon, so 7 sides

Step-by-step explanation:

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Answers

Answer:

I uploaded a file hosting link for your question!

See below for more details!

bît.ly/peoplefallfortraps

Step-by-step explanation:

Cookies-x

Cakes-y

x+y=64; he sold a total of 64 cakes and cookies.

x=3y-4; he sold 4 less (-4) than 3 times (3y) the number of cakes he sold.

y = -3x+ 12
y-intercept:
X-intercept:

Answers

Answer:

x= 4

y= 12

Step-by-step explanation:

i hope this helps :)

If you borrow $5000 at an interest rate of 8% for 9 years how much interest will you pay? (I got $3600 but I don't know if its right)

Answers

Step-by-step explanation:

Principal:- $5000

Rate= 8%

Time = 9 years

Interest = P×R×T/100

= 500×8×9/100

= 5×8×9

= 40×9

= 360

Hence, Interest = $360.

if it helps don't forget to like and mark me

Questions about the domain (time in minutes) of the table of values:

(a) What is the minimum (lowest) time value in minutes?

(b) What is the maximum (highest) time value in minutes?

(c) What is the domain (all the time values on the x-axis)?

Need Help?

Answers

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Given that Triangle KLM is congruent to Triangle RQP, what is the measurement of Angle L? Write only the numerical answer. You do not have to include degrees.

Answers

Answer:

Did you ever get the answer?

Step-by-step explanation:

Plzz Help!!! Don't do it for points plzz!! Will mark brainliest.

Answers

A. Would be the correct answer

help put the work plzzzz

Answers

$‭4,774.64‬
Step-by-step explanation:
The amount after 10 years assuming 7.5% compound interest is:
= Amount * ( 1 + rate) ^ no. of years
= 4,500 * ( 1 + 7.5%)¹⁰
= $9,274.64
The accumulated interest is:
= Amount after 10 years - Present amount
= 9,274.64 - 4,500
= $‭4,774.64

The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop

Answers

Answer:

The cost is $75

Step-by-step explanation:

Given

[tex]y = 25x[/tex]

Required

Cost of 3 cubic yards -- Missing from the question

The required means that: [tex]x = 3[/tex]

Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]

[tex]y = 25 * 3[/tex]

[tex]y = 75[/tex]

The cost is $75

Which graph could Gianna use to solve the equation 2^x=10?

Answers

Answer:

The top right graph

Step-by-step explanation:

This would the one since the line goes horizontally through ten. While it also goes up by a count of 2 for each point and over 1.

Answer:

top right

Step-by-step explanation:

i did it on I.M.

I could use help please

Answers

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A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point. (6 points)

Answers

Step-by-step explanation:

The density formula is: Density =mass/vol

---> 2.76 =812.04 / Vol ---> Vol= 812.04 / 2.76= 294.22

The answer is 294.22

The volume of the emerald with mass 812.04 grams and density 2.76 grams/cubic cm is [tex]294.22 \: \rm cm^3[/tex] approximately.

How are density, volume and mass of a substance related?

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kgdensity of substance = d kg/m³volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

For this case, we have:

mass of substance = m = 812.04 gdensity of substance = d = 2.76 g/cm³volume of that substance = v cm³

Then, we have:

[tex]d = \dfrac{m}{v}\\\\v = \dfrac{m}{d} = \dfrac{812.04}{2.76} \approx 294.22 \: \rm cm^3[/tex]

Thus, the volume of the emerald with mass 812.04 grams and density 2.76 grams/cubic cm is [tex]294.22 \: \rm cm^3[/tex] approximately.

Learn more about volume, mass and density here:

https://brainly.com/question/952755

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