6. Solve each system of equations. 7x – 12y = 180 7x = 84 b. | -16y = 4x 4x + 27y= 11​

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y  and the second is 7y – 6 = 3x

As I look, I see 3 ways to use substitution to solve this:

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

Method 1:

3x – 30 = y

7y – 6 = 3x  — initial system of equations

7y – 6 – 30 = y  — substitute 7y – 6 for 3x

7y – 6 – 30 = y  — marking like terms, bold for constants, underlined for variables

7y – 36 = y  — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.

7y – 7y – 36 = y – 7y  — subtract 7y from both sides

–36 = –6y  — simplify

–36 ÷ –6 = –6y ÷ –6  — divide by –6 on both sides

y = 6  — simplify

Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x

I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3x – 30 = y  — initial equation

3x – 30 = 6  — substitute 6 for y

3x – 30 + 30 = 6 + 30  — add 30 to both sides to isolate 3x

3x = 36  — simplify the expression

3x ÷ 3 = 36 ÷ 3  — divide both sides by 3 to isolate x

x = 12  — simplify

So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y  but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.

7y – 6 = 3x  — original equation

7(6) – 6 ≟ 3(12)  — substitute 6 for y and 12 for x

42 – 6 ≟ 36  — simplify by multiplying

36 = 36 ✔  — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

i am pretty sure this is the answer:

y=5x+4

Answer: y=5x+4

Step-by-step explanation:

Answer:

$68.20 divided by 3.1 = $22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your answer

Sale price = 144$

Mark it as Brainlist. Follow me for more answer.

Answer: Ooof!

Step-by-step explanation: btw the answer is 62.25

Answer:

34+34-(23/4)

Step-by-step explanation:

249/4 is the answer boo <3

36/60

=0.6

60% is your answer

Answer:

I think you have this correct

Step-by-step explanation:

you are supposed to be finding the value of x, and you have.

Answer:

147 so yes u do have the right answer :)

Step-by-step explanation:

either way u look at it it would still be trying to find 180 using the 33 that is given

hope this helps and its correct haha

Answer:

Step-by-step explanation:

[tex]a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}[/tex]

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

The equation of the circle.

Solution:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=-4, k=-1 and r=2, we get

[tex](x-(-4))^2+(y-(-1))^2=(2)^2[/tex]

[tex](x+4)^2+(y+1)^2=4[/tex]

Therefore, the equation of the circle is [tex](x+4)^2+(y+1)^2=4[/tex].

Answer:

I] 135+45=180

therefore supplementary angles

ii] 55+35=90

complementary angles

iii]55+45=100

neither

iv] 77+13=90

complementary angles

Answer for Part A:

11 = 5 + 0.75g

g = games played

Answer for Part B:

If you have $11, you can play 8 games

Explanation:

Answer:

x = 35, y = 26.5

Step-by-step explanation:

x = 35 ( Alternate angles are congruent )

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y - 10 + 35 + 102 = 180, that is

2y + 127 = 180 ( subtract 127 from both sides )

2y = 53 ( divide both sides by 2 )

y = 26.5

Answer:

is -90

Step-by-step explanation:

−6+(21)(−4)

=−6+−84

=−90

Answer:

-3/10

Step-by-step explanation:

4-5(6+4x)=-16

4-30-20x=-16

-26-20x=-16

-20x=-16+26

-20x=6

x=6/-20

x=-3/10

Answer:

x = -2

Step-by-step explanation:

4 - 5 x 2x = -16

4 - 10x = -16

10x = -20

x = -2

Hope that helps!

Answer:

i think the answer is 45 degrees

Step-by-step explanation:

Answer:

The variable is going to be divided

you solve by multiplying 9 to both sides to eliminate the fraction, then add 6 on both sides to get the variable by itself.

Step-by-step explanation:

Answer:

200-300= -100

Step-by-step explanation:

hope u get it

Answer:

1. How are you in high school if you don't know how to solve simple equations like 200-300?

2. 200-300= -100

Step-by-step explanation:

Hope that this helps! :)

Answer:

166.67 miles

Step-by-step explanation: 381.1 = x + 214.43

381.1-214.43 = 166.67 miles

Answer:

166.67 that is how far they have gone

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

25 percent of 32 is 8

32-8 is 24

so its 24 dollars after the sale has been added

Answer:

we have

slope=(-5--8)/(x-7)

-3/4=3/(x-7)

-3(x-7)=3×4

-3x+21=12

21-12=3x

3x=9

x=9/3=3

Answer:

x = 3

Step-by-step explanation:

slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]

Using the your two points the slope = m = [tex]\frac{-8 + 5}{7-x} = \frac{-3}{4}[/tex]

                                                                       [tex]\frac{-3}{7-x} =\frac{-3}{4}[/tex]

Since the numerators are equal, then the denominators must be equal.

So, 7 - x = 4

-x = -3

x = 3

Answer:

90 degree

Step-by-step explanation:

I just know (I don't I just need points). : )

Answer: i believe what you're looking for is W so, W=3

Step-by-step explanation: you add +7 to each side of the equation, which gives you W=3

Answer:

w= 3

Step-by-step explanation:

Add 7 to both sides of the equation  w-7 = -4

w-7+7=-4+7

Simplify : w-7+7=-4+7  which simplifies to w=   -4 +7

So, w  =  -4 +7  is w= 3

Answer:

141.75 lbs. & 128.25 lbs.

Step-by-step explanation:

Find what 5% of 135 is: 135 times .05=6.75

Add: 135+6.75 (one possibility)

Subtract:135-6.75 (another possibility)

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

When x = 0.8, D. is correct

2.01 > 2.5(0.8)

2.01 > 2 √

Answer:

D.

Step-by-step explanation:

D is the correct answer choice because once you substitute 0.8 with x and multiply, 2.5 and 0.8.

2.5 · 0.8=2

2.01 is greater than 2

The statement is correct.

Answer:

with what???

Step-by-step explanation:

Answer:

S = 3 * 9 = 27

Step-by-step explanation:

S = 3 * 9

S = 27

Step-by-step explanation:

S=3×9=3×3×3=3³=27is youranswer

Answer:

x = 24.571

Step-by-step explanation:

A circles angle is 360 degrees, so you can work out x by equalling everything to 360

360 = 5x + 12 + 9x + 4

360 = 14x + 16

360 - 16 = 344

344 = 14x

344 ÷ 14 = 24.571

x = 24.571

So the smaller angle is 225°

And the bigger angle is 135°

(I'm guessing shape isn't to scale)

Answer:

1, 18, 2, 9, 3, 6

I think

Answer:

Down Below!

Step-by-step explanation:

18 = 1 x 18, 2 x 9, or 3 x 6

Prime Factors: 18 = 2 x 3 x 3

Factors of 18: 1, 2, 3, 6, 9, 18