Solve the following system of equations using Desmos.....x-3y=-2 and x+3y=16

Answers

Answer 1

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x - 3y = - 2 → (1)

x + 3y = 16 → (2)

Adding (1) and (2) term by term will eliminate the y- term

2x + 0 = 14

2x = 14 ( divide both sides by 2 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (2)

7 + 3y = 16 ( subtract 7 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is (7, 3 )


Related Questions

solve elimination method 3x+4y=0 and x - 2y =-5​

Answers

Answer:

x=−2 and y=3/2

Step-by-step explanation:

see picture

2.
Is (x+2) a factor of r + 8x + 12

Answers

Answer:

no because it is not factorable

Step-by-step explanation:

i need to know what -2(3x)+56

Answers

Answer:

-6x + 56

Step-by-step explanation:

-2(3x) + 56

-6x + 56

NEED HELP ASAP!!!!
A rectangular billboard for a high school is 10 feet high and 20 feet long. In a scale model of the school, the billboard is 3.5 inches long. How many inches tall is the scale model?
-i got 1.75 ​

Answers

Answer:

I got 1.75 too

Step-by-step explanation:

20/3.5 is 5.7

10/5.7 is 1.75

The rectangular billboard is 1.75 inches tall in the scale model.

What is scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

The fundamental equation to determine a figure's scale factor is written as, Scale factor is equal to the ratio between the dimensions of the new and old shapes.

Given that, a rectangular billboard for a high school is 10 feet high and 20 feet long.

In a scale model of the school, the billboard is 3.5 inches long.

So, the scale factor = 3.5/20

= 0.175 inches

Thus, the height is 10×0.175

= 1.75 inches

Therefore, the rectangular billboard is 1.75 inches tall in the scale model.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ6

Justin earns a base salary of $1500 per month at
the jewelry shop. He also earns a 3% commission
on all sales. If Just sold $82,975 worth of jewelry
last month, how much would he make for the
month including his base salary and commission?

Answers

Answer: Justin earns a base salary of $1500 per month at

the jewelry shop. He also earns a 3% commission

on all sales. If Just sold $82,975 worth of jewelry

last month, how much would he make for the

month including his base salary and commission?

Step-by-step explanation: $1500 + 3% + $82,975 = 84475. 03 or 84475

Please helpppp! For the function f(x) = -4x - 5, what are the outputs for the inputs 4, 1, 3, and 11?
A. 11; -9; -17; -49
B. 11; -1; 7; 39
C. -21; -9; -17; -45
D. -21; -1; 7; 39

Answers

f(x)=-4x-5

x=4, 1, 3, 11

f(4)=-4(4)-5=-16-5=-21

f(1)=-4-5=-9

f(3)=-12-5=-17

f(11)=-44-5=-49

-21, -9, -17, -49

The answer for your question is C

Decide whether it is possible for a triangle to have the three angle measures or three side lengths given.
If it is possible, then decide whether all such triangles are congruent.

Answers

Answer:

Step-by-step explanation:

the first one cant be a triangle

im pretty sure the second one can

the third one can

im pretty sure the fourth one cant

The simple interest on $600 saved for 3 years at an interest rate of 6 percent. Find the interest

Answers

Answer:

interest = $108

Step-by-step explanation:

interest = p * r * t

interest = 600*0.06*3

interest = $108

The table shows the scores of students recent test. Find the mean of the scores and round to the nearest hundredth

Answers

Answer:

Answer and work is in the pdf

Step-by-step explanation:

75+75+80+80+80+80+80+80+85+85+90+90+90+90+90+90+95+95+95+100+100+100+100+100+100

=2,425

2+6+2+6+3+8

=27

2,425/27=89.81

The mean is 89.81

Min is about to roll a six-sided number cube.What is the probability that she will roll an even number? A) 1/4.. B) 1/3 C) 1/2 D) 5/6

Answers

Answer:

C) 1/2

Step-by-step explanation:

3 of the 6 numbers on a cube are even. 3/6 = 1/2

Find mZN.
62°
K
N
Need help with this question?

Answers

Answer:

118degrees

Step-by-step explanation:

Assuming we are given the following and m<k and ,<N lies on the same straight line, hence;

m<K = 62 degrees

n<N = ?

Since are on the same straight line, hence;

m<N + m<K = 180

m<N + 62 = 180

m<N = 180 - 62

m<N  = 118

Hence the measure of m<N is 118degrees

'

,

please answer ASAP AFAP PLEASE PLEASE ANSWER RIGHT OR I'LL REPORT YOU TO BRAINLY . but on the other hand if you answer correctly I'll just give you brainliest, and go to your profile and thank you and give you a 5 star rating!

Answers

Answer:

The answer is B. 4.4 oz.

Step-by-step explanation:

What do we know? We have the 6-pack of 12-ounce bottles and they cost $2.99, we also know that the other bottle 67.6 ounces that also costs $2.99.

Forgot the money, we're just going to be looking at the ounces.

First, we take the 6-pack and multiply by 12 because we want the size as one, rather than seperate. 6 x 12 = 72

The question is asking how many more ounces are you getting if you purchase the 6-pack. In order to do this, we take the 72 ounces that we got and subtract that 67.6 ounces of the other drink. 72 - 67.6 = 4.4

The ounces saved are 4.4 ounces.

Use the diagram to identify 4 collinear points

Answers

Answer:

the answer is the (L,N,K,O)

A person pushes a car with a force of 50 pounds. The car moves 5 feet into his garage. How much work was done?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

At a candy store, Layla bought 2 pounds of jelly beans and 4 pounds of gummy worms for $46. Meanwhile, Brittany bought 3 pounds of jelly beans and 2 pounds of gummy worms for $41. How much does the candy cost?
X= Y=

Answers

Answer:

X = $9.00 for 1 pound of Jelly Beans

Y = $7.00 for 1 pound of Gummy Worms

Step-by-step explanation:

Ok, to start we need to make up some notation. It looks like you've chosen X and Y as your variables which works for me.

First lets say X = cost of one pound of jelly beans and Y = cost of one pound of gummy worms

Now let's put together our equations

2X + 4Y = 46

3X + 2Y = 41

Now we need to solve for one of the variables using substitution or elimination. Since none of the variables are isolated, let's use elimination by multiplying the bottom equation by -2.

2X + 4Y = 46

-6X - 4Y = -82

___________

-4X + 0 = -36

-4X = -36

X = 9 or $9.00 per pound

Now we can plug that back into own of the equations and solve for Y

2(9) + 4Y = 46

 18 + 4Y = 46

4Y = 28

Y = 7 or $7.00 per pound

Which statements are true based on the diagram?
Select three options.

Answers

a,b,c your welcome have a good day

simply this number 15min :3hours​

Answers

Answer:

1 min : 12 min

Step-by-step explanation:

To simplify the given ratio, convert both to the same unit of time.

1 hour = 60 minutes

3 hours = 3 x 60 minutes

             = 180 minutes

So that,

15 min : 3 hours = 15 min : 180 min

divide through by 15 to have;

15 min : 180 min = 1 min : 12 min

Thus the simplified form of the number give is 1 min : 12 min.

What is the x-value of the solution to this system of equations?
X = 2y-3
4X+9y=-63

A :60/17
B : -9
C : -3
D : -17/4

Answers

1) Plug in for x into the equation
4(2y-3)+9y=-63
8y-12+9y
17y-12=-63
y=-3

2) Plug in for y into the equation
4x+9(-3)=-63
4x-27=-63
+27. +27
4x=-36
-36/4= -9
x=-9


(-9,-3)
Now check by pluging in for x and y and see if the equation is true.
4(-9)+9(-3)
-36 + -27= -63

Which sign makes the statement true?

1.78 ? 0.88

< or >
????

Answers

Answer:

1.78 > 0.88

Because you would always put the sign on the bigger number.

Answer:

1.78 > 0.88

Step-by-step explanation:

It is > hope this helped.

Please answer now ! 90 points

Answers

Step-by-step explanation:

2+3b[tex]\leq[/tex]25

b=books

3b[tex]\leq[/tex]23

[tex]b\leq 23/3[/tex]

[tex]b\leq 7.67[/tex]

50+25L[tex]\leq[/tex]200

L=lesson

25L[tex]\leq[/tex]150

L[tex]\leq[/tex]6

Hope that helps :)

Answer: a)7, B)8

Step-by-step explanation:

Problem a) If Kai wants to buy just one poster that costs 2 dollars, he has 25-2=23 dollars left. If each book is 3 dollars, then he  can buy 23/3 books. The inequality that results is that if b=#ofbooks, then b< or = (25-2)/3, because you cant buy a book for 2 and a half dollars, hence the less than. 23/3 is 7 r2. We get that b< or = to 7 2/3. However, he can't buy 2/3 of a book, so 7. The final inequality we get is that 2+3b<=25

Problem 2) She spends 50 initially, so 200-50=150 dollars left. Thus the number of lessons, or n, cover the rest of the money. Using the same thory as above, the final inequality is 50+25n<=200. n=8.


What is the area of the triangle in square yards?
6 yd.
15 3/4 yd.

Answers

Answer:

6x15 2/4 yd dividedby 2

Step-by-step explanation:

do the math and u get ur answer

-23 = x - 23
A. Infinite number of solutions
B. No solution
C. 0
D. 5

Answers

Answer:

x=0

Step-by-step explanation:

have a nice day or evening

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object

Answers

Answer:

2305.33π square inches

Step-by-step explanation:

The volume of a sphere is V = (4/3) πr ^ 3

Because the diameter is 24, the radius is 12.

Substituting 12 for r in the above equation:

V = (4/3) π (12 ^ 3) = (4/3) (1728) π = 2305.33π square inches, or 7238.23 square inches.

Answer:

Measure the length, width and height of the square or rectangle prism or object in inches. Record each of these on paper. Multiply the three measurements together to find the volume using either paper and pencil or a calculator. This is the equation: Volume = length x width x height.

I think that is:

24/2 = 12² = 144 x 3.14 = 452.16.

¯\_(ツ)_/¯

Determine the are length on a circle of radius 7 and an included angle of 4.5 radians.

Answers

Answer:

The arc length of a circle is 31.5.

Step-by-step explanation:

The arc length can be found as follows:

[tex] arc = r\theta [/tex]

Where:

arc: is the length of the arc of the circle

r: is the radius = 7

θ: is the angle = 4.5 rad        

[tex] arc = r\theta = 7*4.5 = 31.5 [/tex]

Therefore, the arc length of a circle is 31.5.

I hope it helps you!

find vertex of this function ​

Answers

Answer:

Step-by-step explanation:

(-1,-9)

What are the next three terms of this pattern?

- 4, - 7, - 2, -5, 0, __, __, __

Answers

Answer:

-4, -7, -2, -5, 0, -3, 2, -1

Step-by-step explanation:

the pattern is -3, +5.

i hope this helps :)

Juan earns a flat fee of $150 plus $20 for every hour he works decorating 5 points
a house. Which graph correctly displays Juan's earnings?

Answers

Answer: The 3rd one is the correct answer

Step-by-step explanation:

what’s the answer ??

Answers

Answer:

answer A shows a rotation

A because B is a mirror, c is a translation

what is the 43th term of 11,16,21

Answers

for points sorry Answer:

Step-by-step explanation:

Can I get help with number 20

Answers

Answer:

-5/4

Step-by-step explanation:

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