How can I solve this with substitution with steps.
y=-6x-16
-2x+4y=-2

Answers

Answer 1

Answer:

(-31/13, -22/13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -6x - 16

-2x + 4y = -2

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                -2x + 4(-6x - 16) = -2Distribute 4:                                                                                                    -2x - 24x - 64 = -2Combine like terms:                                                                                       -26x - 64 = -2[Addition Property of Equality] Add 64 on both sides:                                -26x = 62[Division Property of Equality] Divide -26 on both sides:                            x = -31/13

Step 3: Solve for y

Define original equation:                                                                               y = -6x - 16Substitute in x:                                                                                                y = -6(-31/13) - 16Multiply:                                                                                                           y = 186/13 - 16Subtract:                                                                                                          y = -22/13

Related Questions

PLEASE SHOW YOUR WORK.


Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).


The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.


Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.

Answers

Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)

Answers

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

learn more about lines and slopes here :

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Write the following least to greastest

8.75

5.75

Answers

Answer:

the last on is least and the first one is the greastest

Step-by-step explanation:

Answer:

8.75 is greater and 5.75 is less

Step-by-step explanation:

What is the perimeter of the regular heptagon below?

Answers

Answer:15.65

Step-by-step explanation:

What is the answer to: y= 2x^2+6 axis of symmetry and vertex?

Answers

Answer:

v (0,6) and it's symmetrical to y axis

4.3 m to centimeters

Answers

Answer: 430 cm

Step-by-step explanation:

Answer:

430 cm

Step-by-step explanation:

43 multiplied by 10 is 430

What is the solution for -3w-4=w+4

Answers

Answer:

uhh

Step-by-step explanation:

carrot?

the answer is to this question is w=-2

BRAINLIEST FOR THE CORRECT AWNSER!! What is the measurement of

Answers

Easy the answer is D I remember doing that question

I doubled checked the correct awnser is D

Can you guys please help me!!

Answers

32 it’s as simple as 4(5) + 12

Answer:

a. 32

b. 32

Step-by-step explanation:

a. 12 + 4y

They gave us the value of "y" which is "5", and substitute that into the expression.

12 + 4y

12 + 4(5)

12 + 20

32

b. 4 (y + 3)

They gave us the value of "y" which is "5", and substitute that into the expression.

4 ( y + 3 )

4 ( 5 + 3)

Distributive property (multiply what is in the parenthesis by what is out of it (4))

4 * 5 + 4 * 3

20 + 12

32

Hope this helped!

Have a supercalifragilisticexpialidocious day!

what are the relative max and min. of this graph?

Answers

Relative Max is 6

Relative Min is -8

Find the slope of the following graphs.

A. 2/3
B. 3/2
C. 3
D. - 2/3

Answers

Answer:

Answer is A

Step-by-step explanation:

The slope of the shown line passing through points (3,2) and (0,0) is 2/3. The answer is option A.

Given the points (3,2) and (0,0), we can calculate the change in y and change in x as follows:

Change in y = 2 - 0 = 2

Change in x = 3 - 0 = 3

Now, we can substitute these values into the slope formula:

Slope = (change in y)/(change in x) = 2/3

Here, the line has a positive slope, indicating that as x increases by 1, y increases by 2/3.

This means that the line is ascending from left to right, sloping upwards.

Therefore, the slope of the line passing through points (3,2) and (0,0) is 2/3.

Hence, the answer is option A.

Learn more about the slope of line here:

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Can you help? I really need help​

Answers

Answer:

5. find x= 32

6. find < C = 23

find c =

find a =

Sorry wish I could help more I need to learn more about this chapter in math.

Could somebody please help me with these?? It's due tomarrow

Answers

Example for Table 1:

y = x + 6

So if X=-8

1st Row -8+6=-2

2nd Row -4+6=2

3rd Row -2+ 6=4

4th Row -9+6=-3

5th Row 2+6=8

So for any table, the X in the table rule is the X that you are working on.

Answer:

i got you:

1) -2, 2, 4, -3, 8

2) 37, -3, 29, -67, -75

3) -36, 4, -4, -20, -12

4) -10, 6, -4, 8, 4

5) -2, 18, -16, 6, -10

6) -4, -15, 2, 0, -6

7) -25, 23, 5, 29, 11

8) 24, 38, -60, 3, 10

9) 2, 4, 9, -1, -3

10) -14, -8, -15, -10, -16

11) 9, 18, -21, -3, -24

12) -10, 35, -73, 71, -19

hope that helps

Step-by-step explanation:

f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.

May someone help me pleaseeee

Answers

Answer:

c=2, d=16

Step-by-step explanation:

The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given,

f(x) = 2x + c...(1)

g(x) = cx + 7..(2)

fg(x) = 4x + d..(3)

We need to find the values of c and d

fg(x) = 2(cx+7) + c

Apply distributive property

fg(x) =2cx+14+c...*

Now compare * with equation 3

2cx=4x

2c=4

Divide both sides by 2

c=2

and 14+c=d

Substitute c in above equation

14+2=d

d=16

Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d

To learn more on Functions click:

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HELP ASAP
The number of minutes played and the number of field goal attempts for
certain players of the Indiana Pacers for the 1999–2000 season is shown below.
Player
Player
Best
Rose
Miller
Smits
Croshere
Davis
Minutes Field Goal
Played Attempts
2978 1196
2987 1041
1852
890
1885
653
Jackson
Perkins
Minutes Field Goal
Played Attempts
1691 561
2190 570
1620-- 441
582 187
634
108
Mullin
Mckey
2127
602
17. Make a scatter plot of the data.
18. Does the scatter plot show any relationship? If so, is it positive or
negative? Explain your reasoning.
19. Suppose a player played 2500 minutes. Predict the number of field goal
attempts for that player.

Answers

Answer:

See below and the attachment

Step-by-step explanation:

Refer to attached graph.

It includes the points and a best fit line produced by a graphing calculator.

17. The scatter plot is attached18. There is a positive slope. Number of field goal attempts increase as minutes played increase.19. The point is plotted: 2500 minutes gives about 880 field goal attempts.

Answer:

It includes the points and a best fit line produced by a graphing calculator.

17. The scatter plot is attached

18. There is a positive slope. Number of field goal attempts increase as minutes played increase.

19. The point is plotted: 2500 minutes gives about 880 field goal attempts.

Step-by-step explanation:

HELPPPPPPPPPP HELPPPP ILL MARK YOU BRAINLIST

Answers

Answer:

17.1 in

Step-by-step explanation:

As an estimation We are told 5 miles is 8 km convert 27. 5 miles to km​

Answers

Answer:

approx. 44 km

Step-by-step explanation:

We are given that :

5 miles ------> 8 km

we divide both sides by 5 to get the unit rate:

1 miles ------>  8/5 km

Therefore:

27.5 miles -----> 27.5 miles x (8/5) = 44 km

Evaluate p(x) = -3 + 4x when x = -2, 0, & 5

p(-2) =
p(0) =
p(5) =

Answers

Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Step(i):-

Given that the polynomial function  p(x) = -3 +4x ..(i)

Given x =-2 , 0 and 5

put x =-2 in equation (i)

p(-2) = -3 +4(-2)

       = -3 -8

p(-2) = -11

Step(ii):-

put x =0 in equation (i)

p(0) = -3 +4(0)

       = -3 +0

p(0) = -3

Step(iii):-

put x = 5 in equation (i)

p(5) = -3 +4(5)

       = -3 +20

p(5) = 17

15 songs that are the saame lenght are preformed during a concert. if the concert lasts 27 minutes and 30 seconds, how long is each song?

Answers

1 minute and 48 seconds

Solve the equation for x.
[tex]\frac{1}{3} (6x-15)=\frac{1}{2} (10x-4)[/tex]

a.-10
b.1
c.[tex]\frac{1}{10}[/tex]
d.-1

Tysm:)

Answers

The answer to the equation 1/3(6x-15)= 1/2(10x-4) is D. -1

What are the answers to these questions

Answers

F(-1)=2
F(2)=-1
F(3)=-3



The f(x) part is the input and the stuff after is the output

I will give you 15 points

Answers

Answer: A, D

Step-by-step explanation:

pls help, i need the answer by tonight!!

Answers

Answer:

Step-by-step explanation:

let distance=d

d²=4²+(2+4)²=16+36=52=4×13

d=2√13

The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.

Answers

Answer:

This shows that the profit for 12 sales is 400

Step-by-step explanation:

If both graphs intersects then;

p = p

400 = 50s - 200

50s = 400+200

50s = 600

s = 600/50

s = 12

Substitute s =12 into p = 50s-200

p = 50(12) - 200

p = 600-200

p = 400

Hence the intersection (s, p) is (12, 400)

This shows that the profit for 12 sales is 400

Please help!!!! 20 points!!! Will give brainliest

Answers

Answer:

sorrry but i need points

Step-by-step explanation:

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

The Second One

Step-by-step explanation:

Commutative Property

*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Step-by-step explanation:

John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation. ​

Answers

Answer:

n+68=98 find n (n=30)

Step-by-step explanation:

Please I need help for real

Answers

y=-3x-5 is the answer !!

Below are two parallel lines with a third line intersecting them.

Answers

Answer:

77

Step-by-step explanation:

180-103=77

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