12x + 15y = 9

−12x − 18y = −6
PLEASE I NEED EXPLANATION THANKS

Answers

Answer 1

Answer:

x = 2

y = –1

Step-by-step explanation:

We need to solve this system of equations for the point where the two linear equations intersect. That means solving for one variable, then using that to solve for the other. But, I'm looking at this, and...

Well, I see an easy way to isolate y right now! See how one equation has 12x and the other has 12x? Adding the two equations together will cancel them out!

That gives us this equation:

12x – 12x + 15y – 18y = 9 – 6  — adding the expressions together

15y – 18y = 9 – 6  — cancel out the 12x

–3y = 3  — simplify the equation

–3y ÷ 3 = 3 ÷ 3  — divide by 3 to isolate y

y = –1  — simplify the equation

Now that we have our y-value, we can substitute into the equation and solve for x. I'm substituting into both to make sure y = –1 is part of the solution point (on a coordinate plane, this is where the functions intersect).

12x + 15y = 9  — original equation

12x + 15(–1) = 9  — substitute –1 for y

12x – 15 = 9  — simplify

12x – 15 + 15 = 9 + 15  — add 15 on both sides to isolate 12x

12x = 24  — simplify

12x ÷ 12 = 24 ÷ 12   — divide by 12 on both sides to isolate x

x = 2  — simplify

That's one equation. Let's check the other with these values to make sure (2, –1) is the solution point.

–12x – 18y = –6

–12(2) – 18(–1) ≟ –6

18 – 24 ≟ –6

–6 = –6 ✓

Yep, this is the solution we're looking for!

Hope this helps you understand the concept! Have a great day!


Related Questions

35m 48cm to cm ,,, 35m 48cm to m
48m 7cm to cm ,,, 48m 7cm to m
13m 97cm to cm ,,,, 13m 97cm to m
plss do and send
its urgent
If u type something not related to this question u will be reported

Answers

Answer:

(I)3548 ,,,,,,48.35

(ii) 4807,,,,,,7.48

(iii)1397,,,,,,,97.13

Paulo and Marie are collecting quarters. The number of quarters Paulo has is 3 times 5 fewer than the number of quarters Marie has. Let m be the number of quarters Marie has. What expression represents the number of quarters Paulo has?

Answers

Answer:

Paulo = 3m - 5

Step-by-step explanation:

m = number of quarters Marie has

The number of quarters Paulo has is 3 times 5 fewer than the number of quarters Marie has

3 times number of quarters Marie has = 3 * m

= 3m

5 fewer than the number of quarters Marie has

3m - 5

Paulo = 3m - 5

Write fifty-three ten-thousandths in decimal

Answers

Answer:

0.0053

Step-by-step explanation:

from the point you start counting backwards tenth, hundredth, thousandth, ten-thousandth

Find the measure of each angle indicated

Answers

Step-by-step explanation:

exterior angle = sum of opposite interior angles

exterior angle = 40 + 80

=. 120

plz mark my answer as brainlist.hope this will be helpful to you .

What conclusion can you make from the information below?
Three boys (Dmitri, Ken, and Adam) have three different favorite colors (red,green, and blue)
• Dmitri does not like red
• Adam does not like red.

A. Dmitri's favorite color is blue.
B. No one likes green
C. Ken's, favorite color is red
D. Ken's favorite color is not red.​

Answers

Answer:

Step-by-step explanation:

Answer: I think it might be D I'm not sure

Step-by-step explanation:

What is the prime factorization of 72 in exponent form?

Answers

Answer:

3^2 x 2^3

Step-by-step explanation:

72

9 8

3    3    2    4

                 2 2

A grocery store sold 18 juice boxes, of which 9 were strawberry flavored. What is the experimental probability that the next juice box sold will be strawberry flavored?

A) 1/2
B) 0
C) 2
D) 1

Answers

Answer:

a.

Step-by-step explanation:

Answer: (A) 1/2

Step-by-step explanation:

there is 18 boxes of juice, 9 are strawberry

18÷9=2

so there is half of the juices that are strawberry

so the chances of someone picking strawberry is 1/2

Find the equivalent rate. Show all work!

$250/1 week =$?/1 year, remember there are 52 weeks in a year.

Answers

Answer:

13,000

Step-by-step explanation:

250×52=13,000. I used a calculator

Answer:

13000

Step-by-step explanation:

if there are 52 weeks in One year, we multiply 52x1 and 250x52 and we get 13000

Hope this helped!

If the points (2, 4), (5, k), and (8, 20) are on the same line, what is the value of k?

Answers

Answer:

k = 12

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (8, 20)

m = [tex]\frac{20-4}{8-2}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]

Repeat using (5, k) as one of the points and equate to [tex]\frac{8}{3}[/tex]

(x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, k) , then

m = [tex]\frac{k-4}{5-2}[/tex] = [tex]\frac{k-4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ( cross- multiply )

3(k - 4) = 24 ( divide both sides by 3 )

k - 4 = 8 ( add 4 to both sides )

k = 12

A triangle is formed by three line segments that intersect only at their endpoints. True or False?

Answers

Answer:

it is true.................

Answer: Your answer is TRUE

Step-by-step explanation:

Find the measure of side b.
On a right triangle on the hypotenuse c = 240in and on the left side of the right angle is 39 degrees.

Answers

I think it’s 236.8 correct me if I’m wrong?

PLEASEEEEEE HELPPP ASAPPP REWARD BRAINLIESTT

Answers

Answer:

1: 9 & -8

2: -4 & -5

3: -10 & 6

4: -8 & 6

5: 3 & 8

Step-by-step explanation:

Write an algebraic expression for each word phrase:
34 less than k
(show your answer and work)

Answers

Answer:

k-34

Step-by-step explanation:

equation: k-34 because k is less than 34.

Find the linear inequality & show it on a number line:
5(x-3) < 20

Answers

Answer:

Step-by-step explanation:

5(x-3)<20

5x-15<20

5x<35

x<7

All factors for 3,235?

Answers

Answer:

1,5,647,3235

Step-by-step explanation:

there yah go

What is the solution to the equation 2n - 3 = 7

Answers

Answer:

Step-by-step explanation:

2n-3=7

2n=4

n=4/2

4/2=2

N=2

Hope this helps!

\f(x) = \left\{
x + 4
8
2. - 1
<5
55x47
7<<10
Wright.)
For f(x), evaluate the following:
a. f(0)
b. f(6)
Show all of your work.

Answers

Answer:The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f(

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f(0

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f(0)

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f(0)=

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f(0)=0

The number 0 falls in the interval -1 < x ≤ 1, so we use the formula f(x) = x to evaluate f(0).f(0)=0We get f(0) = 0. the answer is a

step by step:

what is 2.5% of 15 530​

Answers

Answer:

2.5% of 15,530 is 388.25

Help, please! (Screenshot included.)

Answers

Answer:

the fourth and fifth one

Step-by-step explanation:

y=3/2x+3

3x-2y=-6

subtract 3x from each side  

-2y=-3x-6

divide each side by -2

the two negatives cancels it out to make it positive

y=3/2x+3

Write as an addition problem: 53 - (-53 )

Answers

Answer: 106

Step-by-step explanation:

53-(-53)

= 53 + 53     [ the product of - and - gives +]

= 106

Hope it helped u,

pls mark as the brainliest

^_^

Diane has $20 in a savings account that earns 5 % annually. How much will she earn in interest in 1 year?

Answers

Answer:

$21

Step-by-step explanation:

Given data

Principal= $20

Rate = 5%

time= 1 year

Required

The final amount A

Applying the simple interest formula

A= P(1+rt)

substitute

A=20(1+0.05*1)

A=20(1.05)

A=20*1.05

A=$21

Hence she will earn $21

pls help soon! will give brainly!

Answers

Answer:

so the photo is too small I can't see what is write on it

please help me to find the slope!
m
y2-yi
X2 -X1
Find the slope of the line that passes
through these two points.
(3,5)
(5,1)
m = [?]

Answers

Answer: Slope is -2

Step-by-step explanation:

Y² - Y¹ divide by X² - X¹

= 1 - 5 divide by 5 - 3

= -4/2

Slope is -2

I just need an explanation for both of these! Help would be greatly appreciated, thanks. :))

Answers

Answer:

1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.

2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.

Step-by-step explanation:

Join my zo0m plz

https://zo om.us/j/95168253981?pwd=b3QzZWlON2ZSbU1ZalFTcnFuUCtIdz09

take the space out

You have completed 60% of your English homework.The assignment has 25 questions. How many questions are left?

Answers

15, i read it wrong the first time whoops

3x + 7 = -11

how do I solve for x?

PLEASE HELP - URGENT!!

Answers

Ok you minus 7 from both sides so it’s 3x = -18 then you divide 3 from the problem on both sides then ur left with x=-6

Answer:

x= -6

Step-by-step explanation:

3x + 7 = -11

3x = -18 (By doing - 7 from both sides)

x= -18/3 (By dividing by 3 from both sides)

x= -6 (-18 divided by 3 is equal to -6)

Confirmation:

3(-6) + 7 = 11

-18 + 7 = -11 (Correct)

Plssss help 20 points and will give BRAINLIEST

Answers

250 + 12 x 25 then tou will get the answer lol

Answer:

$550

Step-by-step explanation:

$250 the register so there is already $250

$25 each month

There are 12 months in a year

Multiply

25 * 12 = 300

So $300 each year

Add the amount for register and amount for each month for a year

$250 + $300 = $550

20 PTS


A rectangular cardboard has dimensions as shown.


The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?

IMAGE :

Answers

Answer:

=9.8 . -- : .

6 divied by the sum of k and 4

Answers

The correct answer is (k+4) / 6
Hope this helped

the slope of x/3 + y/-6 =1 ?

Answers

Here’s you answer mate
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