y = x + 8
4x – 2y = -12​

Answers

Answer 1

Answer:

x = 14

y = 22

Step-by-step explanation:

y = x + 8

4x - 2y = -12

Solve

_____________

Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.

4x - 2(x + 8) = -12

Distribute :

4x - (2(x) + 2(8)) = -12

4x - 2x +16 = -12

Combine like terms :

2x + 16 = -12

Subtract 16 from both sides :

2x = -28

Divide 2 from both sides to get x alone :

x = 14

Now that we know what x is, substitute it in the first equation to get y :

y = (14) + 8

y = 22

Answer 2

Answer:

(2 , 10) or x = 2 & y = 10

Step-by-step explanation:

y = x + 8

4x – 2y = -12​

1. Substitute x + 8 in for the y in the other equation.

2. Solve for x

3. Take the solution for x and substitute the number in for the x in y = x + 8.

4. Solve for y.

5. Your answer is the result.

4x - 2(x + 8) = -12                       Distributive Property

4x - 2x - 16 = -12                        Combine like terms

2x - 16 = -12                               Isolate the x, so start by moving -16

    + 16   +16                              

2x + 0 = 4                                  Delete the 0. It is a place holder you don't need

      2x = 4                                 Isolate the x by dividing both terms by 2.

        2    2

        x = 2

y = x + 8                      Substitute the 2 in for x and solve the one step equation.

y = 2 + 8

y = 10


Related Questions

Solve for x, please!

Answers

Answer:

45

Step-by-step explanation:

Answer:

30 + 70 + 2x-10=180

90+2x=180

2x=180-90

x=90/2

x=45

X=45

Hope it helps

What is the missing value of 5x-2y=30 (8,)

Answers

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Factor.

3y^2 + 5y - 2

If you can, please give me an explanation, I'm confused about how to do this.

(Example of how the answer would look like: (5x+3)(x+1))

Answers

I’m doing factoring right now so no problem!!
3y^2+5y-2
3 is a prime number so to split it up you would put 3y in one parentheses and y in the other. at this point it will look like this
(3y )(y )
now, you need to figure out what your signs would be (+ or -) because the second sign in the equation is a negative, your signs would be one + and one - you can decide where to put them until you figure out your two factors. in this case you need to figure out 2 numbers that multiply to 5 and add up to 2. you might think this is impossible, but since the 3 is there, one of those numbers can be multiplied by three. this is your answer:
(3y-1)(y+2)
comment on the answer if you have any more questions. mark me brainliest if you can!!

Solve the following:

4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2

Answers

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

3x - 6 less than or equal to -3 on a graph

Answers

I believe that -3 is less than 3x-6 because if you look at their graph -3’s graph is below 3x-6 graph

Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.

Equation: y=

Answers

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?​

Answers

Answer:

314,880

Step-by-step explanation:

If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.

Answer:

314880

Step-by-step explanation:

Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)

Answers

Answer:
3x + 0.5y = 35
x + y >/= 15

Possible solution: (11, 4)
11 cupcakes, 4 cookies
____________
Cupcakes = x
Cookies = y

Cupcakes are $3 each —> 3x
Cookies are $0.50 each —> 0.5y

$35 to spend: less than or equal to =
3x + 0.5y = 35

Minimum of 15: greater than or equal to >/= 15

x + y >/= 15
____________

3x + 0.5y = 35
x + y >/= 15

Solve second for y:
y >/= 15 - x

Substitute into first:
3x + 0.5(15 - x) = 35
3x + 7.5 - 0.5x = 35

Combine like terms
2.5x + 7.5 = 35

Subtract 7.5
2.5x = 27.5

Divide by 2.5
x is less than or equal to 11

So y is less than or equal to 4

Check:
4 + 11 = 15 :)

3*11 + 0.5*4 = 35
33 + 2 = 35
35 = 35 :)

1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to show Mike's age and Kellie's age in different years. compete the table to show Mike's age and Kellie's age in different years. ​

Answers

The table be like

Mike age        kellie age

10                     14

15                     19

20                    24

25                    29

Calculation of the ages:

Since Mike's sister, Kellie, is 4 years older than he is

And, Let m be Mike's age and let k be Kellie's age.

So here the equation be like

k = m + 4

Based on this we can compute the ages and fill the table

learn more about table here: https://brainly.com/question/16299322

Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0​

Answers

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

29. You drop a handball from a height of 1 meter. Each curved path has 64% of
the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is when n = 1.
b. What height will the ball reach at the top of the sixth path?

Answers

I think it’s A sorry if I’m wrong

What is the measure of arc AC? Pls explain and I will mark brainliest!

Answers

Answer:

D. 146°

Step-by-step explanation:

Arcs in the circle sum to 360°

Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°

Select all that apply.

Which of the following are proportions?

Answers

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Someone please helppppp!

Answers

Answer:

AB=24.5

Step-by-step explanation:

5x+7=7x

7=2x

x=3.5

7(3.5)=24.5

What is the y-intercept of y=5x-2

Answers

Answer:

the y intercept is -2

Step-by-step explanation:

the y intercept is always the value on the end

Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.

Step-by-step explanation:

Solve for x
[tex]\frac{x}{7}[/tex] − [tex]\frac{x}{9}[/tex] =−1

Answers

Answer:

[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x - 7x}{63} = - 1[/tex]

[tex] = > \frac{2x}{ 63} = - 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = - 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]

[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]

A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader

Answers

Answer:

1/2

Step-by-step explanation:

12 out of 24 is 1/2

I need ur help with this just two questions. lets see who's good at this. n ofc in return ill brainlist.

market stall holder bought a variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%
write the percentage mark up value as:
1) fraction in simplest form
2) decimal ​

Answers

Answer:

20 x 0.65 = 13

20 + 13 = 33

20 x 65/100 = 13

Answer:

variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65% write the percentage mark up value as: 1) fraction in simplest form ... an acute angle lies in the range. 0 \leqslant \theta ... an angle that measures 65° i

Step-by-step explanation:

peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answers

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg

In the figure shown below, line “m” and line “n” are parallel what is the value of x?

Answers

Answer:

x = 20°

Step-by-step explanation:

3x - 10° + 5x + 30° = 180° { being co-interior angles }

8x + 20 ° = 180°

8x = 180° - 20°

8x = 160°

x = 160° / 8

x = 20°

I need help please will mark you as brainliest

Answers

Answer:

178 correct problems

Step-by-step explanation:

turn the percentage into a decimal (0.89) and multiply it by the number of questions

Answer: 178

Step-by-step explanation:

89% x 200. Change percent to decimal by moving the decimal to the left two places.

.89 x 200 = 178

What is the meaning of ‘!’ In math and how do I use it?

Answers

In math, the '!' sign are used in factorial. Factorial is multiplications on numbers itself and with another numbers that less than the number itself. Example :

5! =5x4x3x2x1 or nx(n-1)x(n-2)...2x1

PLEASE HELP ASAP Will MAKE BRAINLIST

Answers

Answer:

The second answer is correct

Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36

Answers

Answer:

c on edge

Step-by-step explanation:

just took the quiz

The equation representing the circle A is (x – 4)² + (y + 5)² = 36.

What is circle?

A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.

The general equation of circle is given by equation

( x - h )² + ( y - k )² = r²

Where,  ( h, k ) is the centre and 'r' is the radius.

As, the circle has a shift of 4 units on the +x axis.

The circle has a shift of the 5 units on the -y axis.

As, the circle has a radius of 6 units from the graph.

So, (h,k) = (4, -5).

Substitute the values of (h,k) in the general equation of the circle.

( x - 4 )² + ( y - (-5) )² = 6²

( x - 4 )² + ( y + 5 )² = 36

Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.

To know more about the general form of equation of circle, here

https://brainly.com/question/1506955

#SPJ2

Simplify using the division rule
14,252
Trs

Answers

Answer:

2rs

Step-by-step explanation:

simplify- 2*7r^2s^2/7rs

r^2 divided by r^1=r^(2-1)=r^1=r

s^2 divided by s^1=s^(2-1)=s^1=s

canceling out 7 as it appears on both sides of the fraction line

Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

Lines De and AB are parallel.
D
C
E
B
А
Which angles represent alternate interior angles?
angles A and C
angles B and D
angles C, D, and E
angles B and C

Answers

Answer:

option 2

angles B and D are the alternate interior angles

lines DE and AB being parallel lines and and line BC being the transversal

Answer:

The answer is B and D

Step-by-step explanation:

Confirmed

graph the equation...
0.5s+4a=15​

Answers

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

-2(v - 2) = -3 – 2v​

Answers

Answer:

no solution

Step-by-step explanation:

Given

- 2(v - 2) = - 3 - 2v ← distribute left side

- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )

- 2v = - 7 - 2v ( add 2v to both sides )

0 = - 7 ← not possible

This indicates the equation has no solution

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Aaron purchased a 25pound bag of cat food.He paid $21.00 for thebag. What is the priceof the dog food perpound? Enter youranswer in correct moneyformat. QUICK SOMEONE HELP!!!! ILL MARK BRAINLIEST Based on the article's description of what happened to Sir Ranulph Fiennes after his left hand got wet, what did he probably experience?A. hypothermia B. frostbite C. a heart attack D. fever ahypothermia bfrostbite ca heart attack dfever Hello pls help meeee water cost $2 for 8 bottles orange juice cost a $1.50 for 3 bottles which is more expensive per bottle I WILL GIVE BRAINLIEST HELP PLEASEEEE HELP PLEASEEE Factor.3y^2 + 5y - 2If you can, please give me an explanation, I'm confused about how to do this.(Example of how the answer would look like: (5x+3)(x+1)) 3x - 6 less than or equal to -3 on a graph What is the meaning of ! In math and how do I use it? 1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to show Mike's age and Kellie's age in different years. compete the table to show Mike's age and Kellie's age in different years. Which equation represents circle A? (x 4)2 + (y + 5)2 = 12 (x + 4)2 + (y 5)2 = 12 (x 4)2 + (y + 5)2 = 36 (x + 4)2 + (y 5)2 = 36 i need help please please A silver nitrate solution contains 14.77 g of primary standard AGNO3 ( Molecular weight 169.87) in 1.00 L. What volume of this solution will be needed to react with 0.2631 g of NaCl ( Molecular weight 58.44) ? How do humans have a negative impact on the environment ?? In figure AB and CD bisect each other at O. State the 3 pairs of equal parts in AOC and BOD. Is AOC BOD? Give reasons Carter and his children went into a bakery where they sell cupcakes for $3 each andcookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15cupcakes and cookies altogether. If x represents the number of cupcakes purchasedand y represents the number of cookies purchased, write and solve a system ofinequalities graphically and determine one possible solution. (I need 2 inequalitys) help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 7. Which line of Hale's speech on p. 75 best shows the author's message to the reader? . Write a list of ten major technological changes that occured between 1883 - 1913. I need help please will mark you as brainliest