Solve the following linear system using the substitution method. Be sure to put your x and y values in the correct spots in the provided coordinate.
24=-3x+y
5y=15

Answers

Answer 1

Answer:

The answer is  (7,3)

Step-by-step explanation:

to solve this systems of equations, set both equations equal to y (common variable in both equations).

[tex]24-3x=y\\3=y[/tex]

by looking at both of these, we already know that y is equal to 3.

substitute y for 3 to solve for x.

[tex]24-3x= 3[/tex]

subtract 24 from both sides.

[tex]-3x= -21[/tex]

divide both sides by -3.

[tex]x=7[/tex]

the ordered pair will be written as (7,3)

you can check your answer by substituting 7 and 3 for x and y.

[tex]24= 3(7)+3\\24=21+3\\24=24[/tex]

hope this helps ;)


Related Questions

please help me quickly ​

Answers

Answer:

D

Step-by-step explanation:

Y is equal to 17x divided by 2

Matthew borrows money from his mom to buy a $150 bike. He gives his mom $40 at the time of the purchase and contunes to pay $10 each month until the
Bike is paid for in full Matthew wrote this equation to represent the amounty that he will have paid his mom after x months:
y =40x + 10
Is Matthews equation correct?

Answers

Answer:

no

Step-by-step explanation:

y=40+10x

he mixed it up

Because the equation is showing that he is paying 40 dollars each month

For which of the following graphs is y a function of x

Answers

Answer:

D

Step-by-step explanation:

You can just use the vertical line test and make sure there aren’t two pints that cross like the circle doesn’t pass the vertical line test because it hit the circle at two points at the same time.

Answer:

d

Step-by-step explanation:

no need

Mr. Jones' salary is $4,800 per month. After his raise, he earned $6,000 per month. By what percent did his salary increase?

Answers

Answer:

25%

Step-by-step explanation:

The difference between his salary before and after the raise is 1200. 1200 is 25% of his salary before the raise, so it is a raise of 25%.

Divide the number 520 into two parts in the ratio 5:8.
The parts of the number are ? and ?

Answers

Answer:

The parts of the number are 200 and 320

Step-by-step explanation:

System of Equations

Suppose a and b are the two parts. They must meet two conditions:

[tex]a+b=520\qquad\qquad [1][/tex]

[tex]\displaystyle \frac{a}{b}=\frac{5}{8}\qquad\qquad [2][/tex]

From [1], we have:

[tex]b=520-a[/tex]

Replacing in [2]:

[tex]\displaystyle \frac{a}{520-a}=\frac{5}{8}[/tex]

Cross-multiplying:

[tex]8a=5*(520-a)[/tex]

Operating:

[tex]8a=2600-5a[/tex]

Joining like terms:

[tex]13a=2600[/tex]

Solving:

[tex]a=2600/13=200[/tex]

a=200

Since:

[tex]b=520-a\Rightarrow b=520-200[/tex]

b=320

The parts of the number are 200 and 320

Answer:

200 and 320

Step-by-step explanation:

Please help brainiest is award!

Answers

Answer:

Im pretty sure its D

Step-by-step explanation:

Answer:    D

Step-by-step explanation:

Which graph represents 2x-5y<15?

Answers

There’s no pictures

Find the distance between A (6, -1) and B ( -18, 15)

Answers

Answer:

8√13 units

Step-by-step explanation:

We use the distance formula.

The distance formula states that the distance between two points (x, y) and (a, b) is equal to:

d = [tex]\sqrt{(x-a)^2+(y-b)^2}[/tex]

Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:

d = [tex]\sqrt{(x-a)^2+(y-b)^2}[/tex]

d = [tex]\sqrt{(6-(-18))^2+(-1-15)^2}=\sqrt{24^2+(-16)^2} =\sqrt{576 + 256} =\sqrt{832}[/tex] = 8√13

The answer is thus 8√13 units.

~ an aesthetics lover

Answer:

28.8444102 or 28.8

Step-by-step explanation:

distance between  A (6, -1) and B ( -18, 15)

im just going to send a picture

I-18 + 6l = 24

l-1 + 15l = 16

24^2 + 16^2 = ?

576 + 256 = 832

the square root of 832 is 28.8444102 or 28.8

A carpenter wants to cut a board that is ft long into pieces that are ft long. The carpenter will use the expression shown to calculate the number of pieces that can be cut from the board. Which expression can also be used to calculate the number of pieces that can be cut from the board?

Answers

Answer:

The expression can also be used to calculate the number of pieces that can be cut from the board is [tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]

Step-by-step explanation:

Length of cardboard =[tex]\frac{5}{6} feet[/tex]

Carpenter cuts board into pieces of equal length

Length of each piece =[tex]\frac{5}{16} feet[/tex]

We are supposed to find  Which expression can also be used to calculate the number of pieces that can be cut from the board :

a) [tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]

b)[tex]\frac{5}{6} \cdot \frac{5}{16}[/tex]

c) [tex]\frac{6}{5} \div \frac{5}{16}[/tex]

d)c) [tex]\frac{6}{5} \div \frac{16}{5}[/tex]

So, Number of pieces =[tex]\frac{5}{6} \div \frac{5}{16}[/tex]

Number of pieces =[tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]

So, Option A is true

Hence The expression can also be used to calculate the number of pieces that can be cut from the board is [tex]\frac{5}{6} \cdot \frac{16}{5}[/tex]

G=(z-s)/r solve for z

Answers

Step-by-step explanation:

G = (z-s) ÷ r

G × r = (z- s)

Gr + s = z

6. Find each of the following values of the function. * Given h(x) = x2 - 5x+7,
a. h(2)
b.h(-5)
c. h(-8)​

Answers

Step-by-step explanation:

h(x) = x^2 - 5x + 7

(a) h(2) = (2)^2 - 5(2) + 7

= 4 - 10 + 7

= 1

(b) h(-5) = (-5)^2 - 5(-5) + 7

= 25 + 25 + 7

= 57

(c) h(-8) = (-8)^2 - 5(-8) + 7

= 64 + 40 + 7

= 111

please help will mark brainliest

Answers

Answer: 124

Step-by-step explanation:

Corresponding angles are congruent

Opposite angles are congruent

In a video game, a flying coconut moves at a constant velocity of 20 meters/second in the positive direction. The coconut hits an obstacle and moves in the opposite direction with a constant velocity of 10 meters/second. What’s the change in velocity of the coconut?
A.
-30 m/s
B.
-10 m/s
C.
10 m/s
D.
30 m/s

Answers

Answer:

23

Step-by-step explanation:

It is A- 30 ............

y = |x-4|+6 The axis of symmetry is x=

Answers

Answer:

Y = |x-4|+6 The axis of symmetry is x=xxx se_x.com

Step-by-step explanation:

what are the steps to 50p+5=225 in an equation

Answers

Answer:

p = 22/5

Step-by-step explanation:

50p+5=225

Subtract 5 from each side

50p+5-5=225-5

50p = 220

Divide by 50

50p/50 = 220/50

p = 22/5

Answer:

50p+5=225

(50p+5) + (-5) =225 + (-5)

50p + 5 - 5 = 225 - 5

50p = 220

(fraction: 50p/50 = fraction: 220/50)

Sorry but you need to finish it because i cant do exponits sorry...

charlie has $12 saved already. He earns another $10 for each lawn he mows. How many lawns must he now before he has $100 saved?

b) write the equation.​

Answers

Answer. 100= 10x+ 12
Explanation. 100 represents the total money from mowing lawns after (x) jobs. x represents the amount of lawns he mows. Finally, 12 represents the amount of money he has regardless of how many lawns he mows. I hope this helps, let me know if it’s correct so others can use it :)
Good luck.

Identify any solutions to the system shown here.

Answers

Answer:

he answer would be B and D.  This can be found by putting the x and y values into the inequality to find whether or not they are true.

Step-by-step explanation:

Lisa drew a picture of a boat. She used the scale 1 inch: 6 feet the boat in her picture is 7 inches long. What is the length, in feet of the actual boat?

Answers

Answer:

Forty-two feet.

Step-by-step explanation:

If one inch equals six feet, then seven inches times six feet per inch equals forty-two feet total.

9+(-7)
What is sebastian's error?

Answers

Answer:

He took 9 instead of -9 and -7 instead of only 7

Step-by-step explanation:

This will represent by -9 not only 9 in integers. Then, the movement of Sebastian is given by +7+(-9) Therefore, Sebastian's error is: He took 9 instead of -9 and -7 instead of only 7

$305 - $7.50 =
over three months

Answers

Answer:

$282.50

Step-by-step explanation:

y2+4x2-3y2-2x

plz help

Answers

factor- 2(-x + 2x2 - y2)
evaluate -2x + 4x2 - 2y2

Figure A is a scale image of figure B. Figure A maps to figure B with scale factor of 0.25.

What is the value of x ?

Answers

Answer:

6

Step-by-step explanation:

Twenty full crates of walnuts weigh 820 pounds, whereas an empty crate weighs 10 pounds. How much do the walnuts alone weigh?

Answers

Answer:The walnuts weigh 31 pounds PER CRATE!!!!

Step-by-step explanation:

The amount of weight of the walnuts alone will be 620 pounds.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Twenty full crates of walnuts weigh 820 pounds, whereas an empty crate weighs 10 pounds.

Then the amount of the weight of the walnuts alone will be

⇒ 820 - 10 x 20

⇒ 820 - 200

⇒ 620 pounds

The amount of weight of the walnuts alone will be 620 pounds.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Which triangles
are similar to AABC?
115 35
B В

Answers

Answer:

i dont get it

Step-by-step explanation:

Pls help me answer this question if correct I'll make brainylist!!!!

Answers

Answer:

y = 4.25x

Step-by-step explanation:

Y (total cost) = 4.25(cost of cheese) times x(number of cheeses)

Help!!!Find the area of a circle whose circumference is same as the perimeter of square of side 22cm​

Answers

1,194 cm
Because area= pi*ri squared
Pi*11 squared

Pls help i'm not good at graphs

Answers

Answer:

See attached

Step-by-step explanation:

The form is filled in and attached

PLEASE PLEASE PLEASE HLEP ME

Answers

Answer:

i would say 62 but im not completely sure. but i THINK its 62. sorry if its wrong

Compare the annual salary of a police/detective and an EMT (emergency medical technician). Based on the annual salaries, how much more will a police detective earn than an EMT over a thirty year period?
A) $44,840.00
B) $538,080.00
C) $1,345,200.00
D) $2,304,600.00

Answers

Answer:  the answer i actually A  $44,840.00

Step-by-step explanation:  because its asking u to subtract police/detective and an EMT so 76,820-31980= 44,840.00

sorry if im wrong (:

16x – 4y = -20
Answer:
Submit Answer
atten

Answers

wait what are you looking for? y or x or slope or?
16x - 4y = -20
Answer : X= -5/4 and Y= 5
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