Solve the following system of equations using substitution, showing all work.
y=2x+3
2x+5y=3

Answers

Answer 1

x=negative 1

y=1

showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.

12x+15=312x+15=3

2 Solve for xx in 12x+15=312x+15=3.

x=-1x=−1

3 Substitute x=-1x=−1 into y=2x+3y=2x+3.

y=1y=1

Answer 2

Answer:

x= -1

y= 1

Step-by-step explanation:

since y=2x+3; plug into other equation

2x+5(2x+3)=3

(distribute 5 to 2x+3)

2x+10x+15=3

(add like terms)

12x= -12

divide by 12 to get x alone

x=-1

now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.

y=2(-1)+3    

y=-2+3

y=1


Related Questions

A kennel has 40 dogs and 10 cats. What is the ratio of cats to ALL of
the animals?

Answers

Answer:

1:5

Step-by-step explanation:

The correct answer is 40:10 or 4:1 rounded

What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.

Answers

Answer:

c.  A line of credit with a fixed total amount.

Step-by-step explanation:

EDGE 2020

Answer:

C. A line of credit with a fixed total amount.

Step-by-step explanation:

Mrs. Wright sold t-shirts for $12.00, which was a 30% markup from what she paid for each. How much did Mrs. Wright pay for each t-shirt originally? (remember to round to the nearest hundredth so it looks like money

Answers

Answer:

She originally paid $3.60

Step-by-step explanation:

She originally paid for them $3.60 before the markup of 30%.

We can use this equation [tex]12 x 0.3 = 3.60[/tex] to confirm our answer. We also add a zero at the end because we are using units of money.

What is the value of 3 divide 1 1/4 in simplest form

Answers

Answer:

2.4

Step-by-step explanation:

20 characters nsnsjnsjs

plz help me with this i do not understand math stuff

Answers

Answer: Pink choice: y= -6x -2

Step-by-step explanation:

In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. ("co-efficient" of x in math talk)

In the given equation, that is -6.  (So that knocks out the first two choices)

The other thing to look at is the y-value of the given coordinate,(-1,4)

(The y-value is the second number in the coordinate (x.y) is the pattern)

and compare it to the the last number in the equations in the choices and     Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because  +4 in this equation is where the line crosses the y-axis. ("y-intercept"  in math talk)  So yellow choice is out!

The attachment shows what the graphs of the choices look like.

The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3)   And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)    

I hope the diagram and explanation helps you understand better. It can be confusing.

PLease help thanks legit only!!!!!!!!!!!!!

Answers

The slope is 0, or answer choice c.

Which equation illustrates the identity property of multiplication?

A. (a + bi) × c = (ac + bci)
B. (a + bi) × 0 = 0
C. (a + bi) × (c + di) = (c + di) × (a + bi)
D. (a + bi) × 1 = (a + bi)

Answers

Answer:

Step-by-step explanation:

2

Answer: D. (a+bi) times 1 = (a+bi)

Step-by-step explanation: i just took the test on edge2020

As x approaches infinity, for which function does f(x) approach negative infinity? Select all that apply. Select all that apply: f(x)=19x(3x+7)(x+12) f(x)=−23(x+4)(x−1)(x−5) f(x)=3x(x+4)(x+7)(x−9) f(x)=(4x−7)(3x+1)(2x−11) f(x)=−29x(2x+5)(2x−1)(x+8)(x−1)(x+4) f(x)=−45x(x+1)(x+5)(x+8)(2x+5)(2x−7)(4x+1)

Answers

Answer and explanation:

Please find answer and explanation attached

PLEASE HELP WILL GIVE BRAINLIEST

Mercury is the closest planet to the Sun, with an average distance of 35,000,000
miles.

It takes light about 3 minutes to travel from the Sun to Mercury.

Neptune is the farthest, with an average distance of 2.8 x 10 to the power of 9 miles from the Sun.

How many times farther from the Sun is Neptune than Mercury?

How long does it take light to reach neptune?

Answers

80 times farther from the Sun is Neptune than Mercury.

Given that, the distance between Mercury and Sun = 35,000,000 miles and the distance between Neptune and Sun = [tex]2.8\times10^9[/tex].

What is an average distance?

An average distance is the average of the greatest and least distances of a celestial body from its primary.

Now, number of times farther from the Sun is Neptune than Mercury

= [tex]\frac{2.8\times10^9}{3.5\times10^7}[/tex]

=0.8×10²

=80

Time taken for light to reach Neptune = 3×80=240 minutes

=4 hours

Therefore, 80 times farther from the Sun is Neptune than Mercury.

To learn more about an average distance visit:

https://brainly.com/question/3841552.

#SPJ5

Janice determined there were 10 possible outcomes when tossing two coins and spinning a spinner numbered 1 through 6. What is the correct number? What might have been Janice's error? 3; There are only 3 events. 6; There is only 1 possible outcome for the coins. 24; She added the number of possibilities instead of multiplying. 36; The spinner was spun twice.

Answers

Answer:

c: 24

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A market buys mixed nuts at $12.50 per pound. They want to make a 22% profit. What should they charge for retail price? Please help I’m begging!

Answers

Answer:

the answer is 15.25/lbs

Step-by-step explanation:

you just plug in 1.22 (12.50) pls vote if my answer was right

Answer:

$15.25

Step-by-step explanation:

Divide 12.50 by 100 to get 0.125

Multiply 0.125 times 122 to get 15.25

You divide by 100 to get 1% of what $12.50 is, then multiply that by 122 to get $12.50 + a 22% profit.

Finally, just add your units to get the answer of $15.25 per pound.

The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?​

Answers

Answer:

V /(lw) = h

Step-by-step explanation:

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

V /(lw) = h

V = lwh

Divide each side by lw

V/ ( lw) = lwh/(lw)

V /(lw) = h

If a is 16 ft. and bis 30 ft what is the length of c in a right triangle?

O 34 ft.
O 34
0 34.1

Answers

Answer:

34 ft.

Step-by-step explanation:

Use the theorem [tex]a^{2}[/tex] +  [tex]b^{2}[/tex] = [tex]c^{2}[/tex], and then square root that number.

[tex]16^{2} + 30^{2} =[/tex] [tex]\sqrt{1156}[/tex]  = 34. So the answer is 34 ft.

) Write an integer that represents the following scenario: Jenna deposited (put in) forty dollars into her savings account..

Answers

Answer:

hi blair. we go to school together.

Step-by-step explanation:

What’s the answer
Apparently didn’t paid attention in class

Answers

This equation can be written as :-

= 6 + 4x = x + 15

= 4x+6=x+15

= 4x + 6 − x = x + 15 − x

= 3x + 6 = 15

= 3x + 6 − 6 = 15 − 6

= 3x = 9

= 3 x 3 = 9

= x = 9 ÷ 3

= x = 3

Using this , let us solve the equation :-

= 6 + 4 × 3 = 3 + 15

= 6 + 12 = 3 + 15

= 18 = 18

Therefore , 6 + 4x = x + 15 = 18 ( x = 3 ) .

11.You are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and
42 apples. You want identical groups of items in each basket with no items left
over. What is the greatest number of picnic baskets you can fill?

Answers

Answer:

6

Step-by-step explanation:

divisible by 6, so 3, 4 and 7

The greatest number of baskets will be 6.

What is the greatest common factor?

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF.

The greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given that you are filling picnic baskets. You have 18 sandwiches, 24 granola bars, and 42 apples.

The greatest common factor between the numbers 42, 18, and 24 will be 6.

42 / 6 = 7

18 / 6 = 3

24 / 6 = 4

Therefore, the greatest number of baskets will be 6.

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

If f(a) = 3a? – a, then what is the value of f(-2) ?

Answers

Answer:

Step-by-step explanation:

-7


How do I get the rule

Answers

Stat->edit on the calculator and put the x in the first column and the y in the second.

16% of 95 is what number? ( pls help im dumb lol )

Answers

Answer:

15.2

Step-by-step explanation:

Answer:

★ The answer would be 15.2

Step-by-step explanation:

We need to find

16 % of 95

Write it exactly as it is said.

16 % can be written as a fraction.

16/100×95=15.2

If 6 is an element in the domain of f(x) = 9x-25/5, what is the corresponding element in the range?

Answers

Answer:

Step-by-step explanation:

f(x) = 9x - 25/5

f(x) = 9x - 5

f(6) = 9*6 - 5

f(6) = 54 - 5

f(6) = 49

=================

You might mean

f(x) = (9x - 25)/5

f(6) = (9*6 - 25) / 5

f(6) = (54 - 25) / 5

f(6) = 29/5

f(6) = 5.8

Moral: please use brackets to clarify the question.

PLS HALLP (20 POINTS)

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Graph of two lines. f of x passes through 3, 5 and 4, 10, and g of x passes through one half, 0 and 1, 10.

a, 4
b.one fourth
c. negative one fourth
d.−4

Answers

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We then have:

For f (x):

The cut point for the y axis is:

For g (x):

The cut point with the y axis is:

The value of k is given by the vertical displacement of graph k units.

We then have:

Let's clear k:

I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out

Answer:

wsg guys the answer is 4

Step-by-step explanation:

there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10​

Answers

Answer:

9

Step-by-step explanation:

b)
2x-5=2(x-1)
Ayuda

Answers

La respuesta es x=2/3 espero que esto ayude :))

HW DUE IN A FEW MINS PLZ HELP ASAPPPPP

Answers

Step-by-step explanation:

sorry for too many pictures and I'm sorry for messing up other question numbers but that's that

hope u get it in time

Using elimination method.
1:x+y=16
x-y=0

Answers

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8

what 2 numbers does 10 fall between

Answers

Answer:

9 and 11

Step-by-step explanation:

Answer:

1   and 11

Step-by-step explanation:

PLEASE HURRY, MARKING BRAINLIEST.

Solve for the value of x that makes lines a and b parallel.

Answers

x = 16
You set the equations equal and then solvep

Answer:

x=16

Step-by-step explanation:

if the lines were parallel then that means that (7x+2) = (8x-14) because they are corresponding angles. just isolate the varible so subtract 7x from both sides and add 14 to both sides. and they you get x=16

un icosagono es un poligono que contiene 20 lados, cuantas diagonales se pueden trazar desde todos sud vertices si cada lado mide 15cm y su area es 900cm2?

Answers

Answer:

El número de diagonales de un icoságono = 170 diagonales

Step-by-step explanation:

Los parámetros dados son;

El número de lados del polígono = 20

La longitud de cada lado = 15 cm.

El área del polígono = 900 cm²

La fórmula para encontrar el número de diagonales, ∑D, de un polígono de n lados se presenta como sigue;

Número de diagonales, ∑D = n (n - 3) / 2

Por lo tanto, el número de diagonales de un icoságono (20 lados) ∑D (20) es;

∑D (20) = 20 × (20 - 3) / 2 = 170 diagonales.

Se pueden trazar 170 diagonales en un icoságono.

Matemáticamente, es posible determinar la cantidad de diagonales en función del cantidad de lados del polígono a través de la siguiente fórmula:

[tex]d = \frac{n\cdot (n-3)}{2}[/tex] (1)

Donde:

[tex]d[/tex] - Cantidad de diagonales.[tex]n[/tex] - Cantidad de lados.

Si sabemos que [tex]n = 20[/tex], entonces la cantidad de diagonales del icoságono es:

[tex]d = \frac{20\cdot (20-3)}{2}[/tex]

[tex]d = 170[/tex]

Se pueden trazar 170 diagonales en un icoságono.

Invitamos cordialmente a ver esta pregunta sobre polígonos: https://brainly.com/question/10956189

What is the slope of the line through (2. 8) and (4, 1)?

Answers

Answer:

m = -7/2

Step-by-step explanation:

what is 2x+54+4x-6=180

Answers

Answer:

=22

Step-by-step explanation:

Subtract the numbers

2+54+4−6=180

2+48+4=180

Combine like terms

2+48+4=180

6+48=180

Subtract 48 from both sides of the equation

6+48=180

6+48−48=180−48

Simplify

Subtract the numbers

Subtract the numbers again

6=132

Divide both sides of the equation by the same term

6=132

6/6=132/6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=22

Solution

=22

BRAINLIEST PLEASE!

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