Solve the system of equations
-12x+9y=7
3x+4y=2
Show all workings please

Answers

Answer 1

Answer:

x = -2/15 & y = 3/5

Step-by-step explanation:

- 12x + 9y = 7 ...(1) ; 3x + 4y = 2 ...(2)

Multiply both sides of (2) by 4:

12x + 16y = 8

Add the new equation & (1):

12x + 16y = 8

-12x + 9y = 7

0 + 25y = 15 => y = 15/25 = 3/5

Thus, substitute the value of y in (2):

3x + 4y = 2 => 3x = 2 - 4(3/5) = (10-12)/5

=> 3x = -2/5

=> x = - 2/15

Answer 2

Answer:

[tex]x=-\frac{2}{15}=-0.133333333\\y = \frac{3}{5}= 0.6[/tex]

Step-by-step explanation:

−12x+9y=7

3x+4y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

−12x+9y=7,3x+4y=2

To make −12x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −12.

3(−12)x+3×9y=3×7,−12×3x−12×4y=−12×2

Simplify.

−36x+27y=21,−36x−48y=−24

Subtract −36x−48y=−24 from −36x+27y=21 by subtracting like terms on each side of the equal sign.

−36x+36x+27y+48y=21+24

Add −36x to 36x. Terms −36x and 36x cancel out, leaving an equation with only one variable that can be solved.

27y+48y=21+24

Add 27y to 48y.

75y=21+24

Add 21 to 24.

75y=45

Divide both sides by 75.

y=3/5

Substitute 3/5 for y in 3x+4y=2. Because the resulting equation contains only one variable, you can solve for x directly.

3x+4×(3/5)=2

Multiply 4 times 3/5

3x+12/5=2

Subtract 12/5 from both sides of the equation.

3x=-2/5

Divide both sides by 3.

x=-2/15

The system is now solved.

x=−2/15 ,y=3/5

 


Related Questions

Where is the function increasing? A) 1 < x < ∞ B) 3 < x < ∞ C) -∞ < x < 1 D) -∞ < x < 3
please hurry i have 5mins

Answers

Answer: I think its A

Step-by-step explanation:

The given function is  increasing from 1 to ∞. Therefore, option A is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph, the vertex is (1, -2)

For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.

Here, the function is increasing from 1 to infinity.

Therefore, option A is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ3

The area of a rectangular dance floor is 8 1/4
square yards, and its width is 3 1/2 yards. What is the patio's length in yards
A 54
B 2
C 4:
D 5

Answers

Answer:

2 5/14 yards

Step-by-step explanation:

Area of the rectangular floor = Length * Width

Given

Area = 8 1/4 square yards

width = 3

1/2 yards

Required

Length

Length = Area/width

Length = (8 1/4)/(3 1/2)

Length = 33/4 ÷ 7/2

Length = 33/4 * 2/7

Length = 33/14

length = 2 5/14 yards

This gives the required length

2e+46-536+62b=


e=53
b=4

Answers

-136 is your answer

Answer:

-136

Step-by-step explanation:

Leslie has a box of markers. There are 3 black,
4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?

Answers

Answer:

Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}

Simple event

Step-by-step explanation:

Sample space is a list of all the possible outcomes.

This is a simple event because you are only doing one event, such as choosing marbles from a bag.

A compound event would be multiple simple events, such as flipping a coin and rolling a dice.

WILL GIVE BRAINLIEST!
Given that ℓ1∥ℓ2 and the measure of ∠c = 44°, find the measures of angles a and b.
m∠a =
°
m∠b =
°

Answers

Answer:

<a = 44 degrees

<b = 136degrees

Step-by-step explanation:

From the given diagram;

<a = <c (alternate interior angle)

Since <c = 44 degrees, hence <a = 44 degrees

Also the sum of a and b is supplementary hence;

a + b = 180

44 + b = 180

b = 180 - 44

b = 136degrees

Hence m<b =136degrees


Rachel has scored 98, 83, and 68 on her previous three tests. What score does she need on her next test so that her average (mean) is 82?

Answers

Answer:Write the equation of this geometric sequence and find the value of the 9th term.

1/3, 1, 3, 9...

F(n)=

F(9)=

Step-by-step explanation:

You can put this solution on YOUR website!

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

:-)

Answer:

79

Step-by-step explanation:

Sum of 4 test for Average of 82 must be 82 x 4 which is 328.

Subtract previous 3 scores from 328:

328 - (98 + 83 + 68)

328 - 249 = 79

She needs a 79

Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 25% y por ultimo el resto ¿ cuánto pagó Yolanda la última vez?

Answers

Answer:

1.230 euros

Step-by-step explanation:

De la pregunta anterior se nos dice que:

Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.

Paso 1

Sea el porcentaje de la suma total de dinero = 100%

Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.

Dejemos que el resto esté representado por x

Por eso;

Primera parte + Segunda parte + Tercera parte = 100%

60% + 25% + x = 100%

x = 100% - (60% + 25%)

x = 100% - 85%

x = 15%

Paso 2

¿Cuánto pagó Yolanda la última vez?

La última vez = Tercera parte y esto se calcula como:

15% de 8.200 euros

= 15/100 × 8.200 euros

= 1.230 euros

Yolanda pagó 1.230 euros la última vez.

What's the answer to x^2-6x-8?

Answers

Answer:

0

Step-by-step explanation:

(x-4)(x-2)=0

If any individual factor on the left side of the equation is equal to 0

the entire expression will be equal to 0

Set the first factor equal to 0 and solve

x=4

The final solution is all the values that make

(x-4)(x-2)=0

x=4,2

Find the value of x degrees.

Answers

Answer:

X=25°

Step-by-step explanation:

[tex]x = \frac{1}{2} (t2 - 22) [/tex]

[tex] = \frac{1}{2} (50)[/tex]

[tex] = 25[/tex]

[tex]x = 25[/tex]

hope it helps u

The graph of an equation is shown below:

Answers

Answer:

D, or (-3,2)

Step-by-step explanation:

Because the point (-3,2) is on the line of the equation shown, it is a solution. You can also notice that none of the other options are on the line and use the process of elimination.

factor by grouping
3n^3 - 12n^2 + 2n - 8
(show the work pls..)

Answers

Answer:

The answer will be ( n - 4 ) ( 3n² + 2 ).

Step-by-step explanation:

1) Factor out common terms in the first two terms, then in the last two terms.

[tex] {3n}^{2} (n - 4) + 2(n - 4)[/tex]

2) Factor out the common term n - 4.

[tex](n - 4)( {3n}^{2} + 2)[/tex]

Therefor, the answer is ( n - 4 ) ( 3n² + 2 ).

Which equation best represents the axis of symmetry?
A y = 6
B X = 2
C y = 4
D x = 0

Answers

The axis of symmetry is A)y=6

2. FIND THE AREA OF THE SHADED
REGION. help me plzz !.!.!.



Answers

You have to find the area of the square so 5x10 then the area of the triangle 5is parallel to the one above so what’s also 5 16 is the total high of the square and triangle combined . So you’d take 10 out of 16 so 6 and 5 beings the sides of the triangle , then you’d add up the two sides and just subtract the area of the no Sade’s and ur left w/ the shaded region

find the value of given expression

[tex] \sqrt{60 \times 60} [/tex]

Answers

Step-by-step explanation:

it is 3.600 this is my answer

Answer:

√(60×60)=√60²=±60 is your answer

i'll pay someone to do my math <3

Answers

I would like to be paid, then xD

If f(x)=x²+1 and g(x)=5x−3, what is f(g(x))?

Answers

Answer:

[tex]25x^{2} -30x+10[/tex]

Step-by-step explanation:

Plug in 5x-3 into f(x) so

[tex](5x-3)^2 + 1 = 25x^2 -30x+10[/tex]

The side lengths 7, 10, 16 will form a triangle?

True or False

Answers

Answer:

true that you pretty but, dont date me bc i have a gf

Step-by-step explanation:

Answer:

true( I'm sowwie if this is wrong):(

which expression represents 2 more than the product 5 and 4.
A. (5+4)×2
B. (5×4)+2
C. 2+(5+4)
D.2×(5×4)​

Answers

B
the product is (5x4)
and adding 2 is two more than the product

Answer:

i think it's B. (5 x 4) + 2

Step-by-step explanation:

pls give brainly crown

and if i'm wrong i'm sooooo sorry

I will give BRAINLIEST

Answers

Answer:

its loaded

Step-by-step explanation:

i cant see how thats possible at all

Determine the missing side length:
I will give 25 points for the answer!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Use Pythagorean theorem

Base²+ altitude² = hypotenuse²

Base² + (√3)²   = (2√3)²

Base² + √3 *√3 = 2√3 *2√3

Base² + 3           = 4*3

Base² + 3           = 12

              Base²  = 12 - 3

              Base²  = 9

              Base    = [tex]\sqrt{9}=\sqrt{3*3} =3[/tex]

Help!!
what's 7e-9-3e for e=6? ​

Answers

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

You’re answer is 15. Hope this helps

I need help with my math homework it’s overdue someone please please help me

Answers

Answer: 2.5833

Step-by-step explanation:

K = 1/4 or .25

3/5 = .6

3 - 0.25 / .6 = 2.5833

Mr. Easterling went to the store with $75. He purchased three steaks for $10 each and then
bought a certain number of sacks of potatoes for $4.50 each. Write and solve an inequality to
determine the maximum number of sacks of potations he can purchase.

Answers

The inequality is 4.50x+30 is less than or equal too 75 which means the maximum number of potatoes is 10

Find m 2x
(3x – 10)
D
E
B
mABC=
mZCBD-

Answers

Answer:

x--5

Step-by-step explanation:

2x+ x

Find the area of the polygon.

Answers

Answer: 72

Step-by-step explanation: 6*2=12 6*10=60 Normally you would divide by 2 to get triangles but since there are two of each, you don't.

Answer:

Solution given:

diagonal 1=AC=6+6=12units

diagonal 2=BD=2+10=12units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(12*12)=12*6=72square units

Area=72square units



A package of twelve cans of black beans cost $6.84. What is the cost of 5 can of black
beans?
$8.77
$0.57
$2.85
$16.42

Answers

Answer:

$2.85

Step-by-step explanation:

Answer:

0.57

Step-by-step explanation:

no prob

SOMEONE PLS HELP ME WITH THIS QUESTIONS PLS!!!!!

Answers

Answer:

a

Step-by-step explanation:

Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

I believe the answer is a as well .

A jar had 88 coins. 1/3 of the coins were silver. How many coins were gold?​

Answers

Answer:

There are 66 gold coins in the jar

Step-by-step explanation:

Let the number of silver coins = X

Then the number of gold coins = 3X (as there are 1/3 number of silver coins as gold)

Total coins =88

Total coins = silver coins + gold coins

Total coins = X + 3X = 88

Total coins = 4X = 88

X = 88/4

X = 22

No. Of silver coins = 22

No. Of gold coins  = 3X = 3×22

No. Of gold coins = 3X= 66

Check

Total coins = 3X + X = 88

66+22 = 88

88 = 88

Hope it helps...

Have a great day :P

Answer:

Hello There!!

Step-by-step explanation:

Let the number of silver coins be x and gold coins be 3x which add up to 4x. Make an expression and add 88 with 4x so 4x=88

x=22(88÷4).

So x=22[silver coins]

3x=66(22×3) [gold coins]

hope this helps,have a great day!!

~Pinky~

Find x and y.

x = 18, y = 9
x = 4, y = 9
x = 4, y= 27
x = 9, y = 24

Answers

Answer:

the answer is c hope is helps

PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE

Answers

Answer:

x = 24

Step-by-step explanation:

What I would do is use inverse operation. First do -8 x -3 = 24. Then check your work by doing 24 divided by -3 = -8. So x = 24. I am 100% sure this is correct

Pls mark me brainliest

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