12x + 15y = 9
−12x − 18y = −6
HELP JUST SOLVE IT

Answers

Answer 1
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2, -1)

Equation Form:
x= 2, y= -1
Answer 2

Answer:

x = 2, y = -1

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

12x+15y=9,−12x−18y=−6

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

12x+15y=9

Subtract 15y from both sides of the equation.

12x=−15y+9

Divide both sides by 12.

x=  1/12 (−15y+9)

Multiply 1/12 ​ times −15y+9.

x = -5/4y+3/4

Substitute -5y+3/4 for x in te other equation, -12x - 18y = -6

-12 ( -5/4y+3/4) -18y = -6

Multiply −12 times -5y +3/4

15y−9−18y=−6

Add 15y to −18y.

−3y−9=−6

Add 9 to both sides of the equation.

−3y=3

Divide both sides by −3.

y=−1

Substitute −1 for y in x= -5/4y+3/4. Because the resulting equation contains only one variable, you can solve for x directly.

x= -5/4(-1)+3/4

Multiply -5/4 times -1.

x = 5+3/4

Add 3/4 to 5/4 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x=2

The system is solved.


Related Questions

Helpppppp mehhhhhh plssss

Answers

Answer:

b

Step-by-step explanation:

The answer is B broo

Convert the following to a percentage: $0.40 out of $2.50

Answers

Answer:

16%

Step-by-step explanation:

Solution for 0.40 is what percent of 2.50:

0.40:2.50*100 =

(0.40*100):2.50 =

40:2.50 = 16

Answer:

16%planation:

If mZBAC = (7x + 1) º and
mZBCA = (52 + 9) . what is the
measure of the vertex angle?

Answers

Answer:  122 degrees

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

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

angle A = 7x+1 = 7*4+1 = 28+1 = 29angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

What is the surface area of the cone in terms of pi
15 m 8 m

Answers

Answer:

Multiply po ba yan? Or hindi po?

Basahin niyo po yung comment ko hehehe

what is the surface area of a cylinder in 9in,7in, and 5in ?

Answers

50 I can’t even explain

VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?

Answers

Answer:

srry that the two people here befre me didnt help you

Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).

if u dont want to write the paragraph make sure t have this in your sentence

Negate the y-coordinate.

Negate the x-coordinate.

Get the point (–5, –2).

In the equation 5x - 4 = 71, what is the constant

Answers

Answer:

I believe the Constant is 4, because the constant is supposed to be a stand alone number.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a constant is a number that doesn't change

What is the longest side of a right triangle?
A )Right Angle
B) Hypotenuse
C)Lega
D )Leg B

Answers

the longest side of a right triangle is hypotenuse

NEED HELP WITH THIS ASAP!!

Answers

The answer is A because , he spent 60$ for the party and then he wanted ppl over. 6$ per person, add six 10 times on top of the 60 and you get 126$ so, it’s going to be less than 11, there for, that is your answer.

Edward wants to take his friends bowling at a bowling alley that charges $5.50 per person for unlimited bowling plus a $3.50 basic lane fee. He doesn´t want to spend more than $44. How many friends can he invite without going over budget?

Answers

Answer:

He can invite 7 friends

Step-by-step explanation:

44 divided by 5.50=8 BUT!

remember the lane fee so only 7 friends can come

Mrs. Smith is making christmas baskets and wants to evenly divide the 36 ornaments and 24 candy canes so that each basket has the greatest number of
ornaments and candy canes without any left over. When you make the greatest # of baskets, how many ornaments will be in each basket?
A.2
B.3
C.6
D.12

Answers

Answer:

C.

Step-by-step explanation:

It is c because 6 can go into both of those numbers when multiplying

Answer:

B. 3

Step-by-step explanation:

We are looking for the greatest number of baskets. The greatest number of baskets is the greatest number that divides evenly into both 36 and 24.

We need to find the greatest common factor of 36 and 24 to find the greatest number of baskets.

36 = 2^2 * 3^2

24 = 2^3 * 3

GCF = 2^2 * 3 = 4 * 3 = 12

The number of baskets is 12.

Now we need to find the number of ornaments that will go in each basket.

36 ornaments / 12 baskets = 3 ornaments/basket

Answer: B. 3

Simplify the expression. 25(z-4)

Answers

Answer

25z - 100

Step by step explanation

Answer:

25z-100

Step-by-step explanation:

fill the empty slots by dragging tiles from the left to show the next step for solving the equation. Use the equation machine to solve this equation. x =

Answers

The solution to the equation 2 = -(7/4) + (1/4)x is x = 15

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the equation:

2 = -(7/4) + (1/4)x

Add 7/4 to both sides of the equation:

2 + 7/4 = -(7/4) + (1/4)x + 7/4

(1/4)x = 15/4

Multiply both sides by 4:

x = 15

The solution to the equation 2 = -(7/4) + (1/4)x is x = 15

Find out more on equation at: https://brainly.com/question/2972832

An eagle is perched in a tree 40 feet above sea level. Directly below the eagle, a pelican is flying 10 feet above sea level. Directly below the birds is a shark, swimming 30 feet below sea level. Draw a picture to help answer the following questions: a) What is the DIFFERENCE in height between the pelican and the shark?

Answers

Answer:

40

Step-by-step explanation:

10 + 30 = 40 difference

Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?

Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water
(Proportion) ​

Answers

720 g flour
10.8 g salt
14.4 g yeast
36 mL oil

Evaluate 4n when n =13

Evaluate a/b when a = 27 and b=3

Evaluate 3x - 14 when x=6

Evaluate z2 + 8.5 when z =2

Evaluate x(36-y) when x =4 and y = 8

PLEASE HELP!!!

Answers

Answer:

1) 52

2) 9

3) 4

4) 12.5

5) 112

Step-by-step explanation:

So for each of them, we just need to substitute and solve.

4n = 4 * 13 = 52

a/b = 27/3 = 9

3x - 14 = 3*6 - 14 = 18 - 14 = 4

z2 + 8.5 = 2*2 + 8.5 = 4 + 8.5 = 12.5

x(36 - y) = 4(36 - 8) = 4(28) = 112

I hope this helped and please mark brainliest!

Faith is organizing textbooks on her bookshelf. She has a Spanish textbook, a math
textbook, and a physics textbook. How many different ways can she line the textbooks
up on her bookshelf?

Answers

Answer:6

Step-by-step explanation: 3 *2*1=6

Answer:

6

Step-by-step explanation:

took test

3*2*1=6

If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?


Answers

Answer:

sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]

Step-by-step explanation:

Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

Then the third side, the adjacent is found using Pythagoras' identity, that is

adj² + opp² = hyp²

adj² + 2² = 5²

adj² + 4 = 25 ( subtract 4 from both sides )

adj² = 21 ( take the square root of both sides )

adj = [tex]\sqrt{21}[/tex] , then

cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]

Using the double angle identity

sin2x = 2sinxcosx

         = 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]

         = [tex]\frac{4\sqrt{21} }{25}[/tex]

How would you solve this problem?

Answers

Answer:

x = 47

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles for a triangle

2x-2   = x + 45

Subtract x from each side

2x-2 -x = x+45-x

x-2 = 45

Add 2 to each side

x-2 +2 = 45+2

x = 47

Answer:

47 degrees

Step-by-step explanation:

Due to the Exterior Angle Theorem, you know that the exterior angle is equal to the sum of the opposite two interior angles:

[tex]2x-2=x+45\\x=47[/tex]

PLZ HELP ME WILL GIVE BRAINLIEST. THANKYOU!!

Answers

Answer:

x = -4

y = -1

Step-by-step explanation:

-2x - 9 = -5x - 21

3x - 9 = -21

3x = -12

x = -4

y = -2(-4) - 9

y = 8 - 9

y = -1

Answer:

x=−4 and y=−1

Step-by-step explanation:

I will solve your system by substitution.

y=−2x−9;y=−5x−21

Step: Solve y=−2x−9for y:

Step: Substitute−2x−9foryiny=−5x−21:

y=−5x−21

−2x−9=−5x−21

−2x−9+5x=−5x−21+5x(Add 5x to both sides)

3x−9=−21

3x−9+9=−21+9(Add 9 to both sides)

3x=−12

(Divide both sides by 3)

x=−4

Step: Substitute−4forxiny=−2x−9:

y=−2x−9

y=(−2)(−4)−9

y=−1(Simplify both sides of the equation)

Answer:

x=−4 and y=−1

(2x + 1, XS-5
f(x)= x?, -5 3-x, x5
f(-10) =
f(2) =
f(-5) =
f(-1) =
f(8) =

Answers

Answer:

Step-by-step explanation:

The value of the function is given by the relation

f ( x = -10 ) = -19

f ( 2 ) = 4

f ( -5 ) = 25

f ( -1 ) = 1

f ( 8 ) = -5

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = { 2x + 1    when x ≤ 5

             x²          when -5 ≤ x ≤ 5

             3 - x      when x ≥ 5   }

Now , the value of the function is given by

when x = -10

f ( -10 ) = 2 ( -10 ) + 1

f ( -10 ) = -19

f ( 2 ) = 2²

f ( 2 ) = 4

f ( -5 ) = ( -5 )²

f ( -5 ) = 25

f ( -1 ) = ( -1 )²

f ( -1 ) = 1

f ( 8 ) = 3 - 8

f ( 8 ) = -5

Hence , the function is solved

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

HELP!!!! 100 POINTS FOR THESE QUESTIONS. CHECK PHOTO FOR QUESTIONS. GEOMETRY

1.How many inches are in a foot

2.The space between the finger and the thumb is 3 1/2 inches, convert this measurement to feet

3. The hand in the image is 15 inches in front of the camera. Convert this measurement to feet.

4. Write the ratio of distance from the camera to the hand to the space between the fingers. Use the measurements that were calculated in feet

5. According to Wikipedia, the tower that houses Big Ben is 315 feet in height. Write a ratio of the distance from the camera to the base of the tower to the height of the tower. *hint – introduce a variable on this step*

6. Setup a proportion to find the distance from the camera to the base of the tower

7. Solve the proportion from number 6.

Answers

Answer:

1=12 inches

2=42 inches

3= 315 feet

4= it looks like he’s less than 1/4th of a mile away from big ben

5=?

6=?

Step-by-step explanation:

thats all i could help with

evaluate the expression and enter your answer below.

3x10+15-6^2

no you can't get a photo just answer it ​

Answers

Answer:

The answer is 9.

Step-by-step explanation:

PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

3x10+15-6^2

3x10+15-36

30+15-36

45-36

9

9. Feel free to clarify if you’re unsure

¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?​

Answers

Sorry don’t know language

how do I simplify ((28 x 5Pi) x 15) + 140

Answers

Answer:

= 87.964594x20+140

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary). (2,−3) and (0,−8)

Answers

Answer:

square root of 29

Step-by-step explanation:

use the distance formula and then plug the numbers in, i got the sqrt(29) after i did that

Plz help I don’t know how to solve this

Answers

Answer:

7- 110

11-70

about rest I don't know sorry

Which graph represents an exponential growth function?

Answers

Answer:

Graph 1 or A

Step-by-step explanation:

The graph is gradually getting bigger as it starts at the left (0,-10) and gets bigger and bigger until it hits the end of the chart, increasing endlessly. That is exponential growth.

Aubrey has a new art box in the shape of a rectangular prism. The box is 12 cm by 5cm

Answers

LWH-LWH
=12*20*5-4*2*0.5
=1200-32
=1168 cubic cms

Answer:

1196

Step-by-step explanation:

trust me i checked the answer!

solve for x or find x ​

Answers

X=9
Prove
9+27=36
4(9)=36
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