Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8

Answers

Answer 1

Answer:

(1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x + 9y = 14

12x - 10y = -8

Step 2: Rewrite Systems

-4x + 9y = 14

Multiply everything by 3:                    -12x + 27y = 42

Step 3: Redefine Systems

-12x + 27y = 42

12x - 10y = -8

Step 4: Solve for y

Elimination

Combine 2 equations:                    17y = 34Divide 26 on both sides:                y = 2

Step 5: Solve for x

Define equation:                    12x - 10y = -8Substitute in y:                       12x - 10(2) = -8Multiply:                                  12x - 20 = -8Isolate x term:                        12x = 12Isolate x:                                 x = 1
Answer 2

Step-by-step explanation:

HERE,

two equation are,

●-4x+9y=14••••••••••••(equation I)

●12x-10y=-8•••••••••••(equation II)

First multiplying 3 in equation I

we get,

[tex]\bold{3×(-4x+9y=14) }[/tex]

=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)

Then,

we combine the equationii and equation III.

we get that,

[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]

[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]

Then,

put the value of y in equation II.

WE get,

[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]

So,

solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)


Related Questions

-12(x + 6.2) = 60 what does x equal​

Answers

Answer: its 11.2 my good sir

Step-by-step explanation:

Im jsut smort trust me its right

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Answer:

The total trip will be 4 hours long.

Step-by-step explanation:

The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.

Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned. a. How many peanut butter cookies does Fred have left to sell?

Answers

Answer: 12 peanut butter cookies

Step-by-step explanation:

Fred had made 10 dozen cookies which means he made:

= 10 * 12

= 120 cookies

Out of those, 1/4 were peanut butter:

= 120 * 1/4

= 30 peanut butter cookies

He burned 3/5 of the peanut butter cookies:

= 30 * 3/5

= 18 cookies were burnt

The amount let is therefore:

= 30 - 18

= 12 peanut butter cookies

Can snag one help me will mark branliest

Answers

Answer:

20/5

36/2

16/6

10/5

24

Step-by-step explanation:

didnt have the square root on my key board

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Answers

Answer:

92°=180°/y° I think this is correct

You have a chocolate chip cookie recipe for 60 cookies that calls for 4 cups of chocolate chips. How many cups of chocolate chips are needed for 24 cookies?

Answers

Answer:

1.6 cups

Step-by-step explanation:

60 cookies= 4 cups chocolate chips

1 cookie=0.66666666

24 cookies=1.6 cups

i hope i helped<3

Sam plans to double his savings each day. He starts
with $0.03 in his account. How much will be have saved
after 30 days?

Answers

Answer:

$32212254.72

Step-by-step explanation:

Initial value = $0.03Increase rate = 2 times each dayTime = 30 days

Saving amount after 30 days:

$0.03*2^30 = $32212254.72

How many grams are there in 55 kilograms? O A. 550 g O B. 5,500 g O C. 55,000 g O D. 550,000 g

can someone please help me :(​

Answers

Answer:

The answer is C. 55,000

Step-by-step explanation:

Hope this helps ;)

I need help I don't understand​

Answers

Answer:

Step-by-step explanation:

Angle LPR and Angle PLN are supplementary to one another

9x+26+5x=180

Combine like terms

14x+26=180

Subtract 26 from both sides

14x=154

Divide 14 on both sides

x=11

Hope it helped :))

How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?​

Answers

Answer:

Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.

Step-by-step explanation:

PLS I NEED HELP ASAP!! WILL GIVE BRAINLIEST

Answers

Answer:

x over 2

Step-by-step explanation:

In a certain​ chemical, the ratio of zinc to copper is 3 to 13 . A jar of the chemical contains 585 of copper. How many grams of zinc does it​ contain?

Answers

Answer: 135 grams of Zinc

Step-by-step explanation:

The ratio of Zinc to Copper in this scenario is 3:13 and in this jar there is 585 of Copper.

Using direct proportion, the grams of Zinc in the jar is:

3        :           13

x        :           585

Cross -multiplying will give:

1,755 = 13x

x = 1,755/13

x = 135 grams of Zinc

lina works as a tutor for $15 an hour and as a waitress for $10 an hour. This month she worked a combined total of 103 hours at her two jobs. let t be the number of hours lena worked as a tutor this month. write and expression for the combined total amount she earned this month.

Answers

Answer:15t + 10x = 103

Step-by-step explanation:

t = tutor hours

x = waitress hours

25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?

Answers

Answer:

I believe the answer is $10.1 each

Step-by-step explanation:

Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.

I hope it help's

2 brownies where shared by 3 friends, how much do they get ​

Answers

Answer: 1.5

Step-by-step explanation: you just have to divide 3÷2 and you will get 1.5

help me or dont lol but please help me

Answers

27° i'm pretty sure.

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.


A.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –23; n + 4 = –25; n + 6 = –27

B.
n + (n – 2) + (n – 4) + (n – 6) = –72; n = – 21; n – 2 = –23; n – 4 = –25; n – 6 = – 27

C.
n – (n + 2) – (n + 4) – (n + 6) = –72; n = –20; n + 2 = –18; n + 4 = –16; n + 6 = –14

D.
n + n + 2 + n + 4 + n + 6 = –72; n = –21; n + 2 = –19; n + 4 = –17; n + 6 = –15

Answers

Answer:

D. n+n+2+n+4+6= -72; n= -21; n+2= -19; n+4= -17; n+6= -15

There are 2 below and 2 above it.

-15, -17, -19, -21

Step-by-step explanation:

the sum of four consecutive odd integers is -72. write an equation to model this situation, and find the values of the four integers .

n + n+2 + n+4 + n+6 = -72

4n + 12 = -72

or

-72/4 = -18, the center

can somebody help me??

Answers

Answer: two solutions and

Step-by-step explanation:

I need help with this asap plzzz&thank u!!

Answers

Answer:

94hhfgkifc llo gfc bbn jdcjkydcjkufv

URGENT PLEASE HELP Enter the value of (1/2) (-8) (4). Use the on-screen keyboard to enter the value in the box below.

Answers

Answer:-16

Step-by-step explanation:

-16 bc it is what it is

What is two thirds minus one fifth?

Answers

Answer:

7/15

Step-by-step explanation:

First, we have to make the bottom part the same:

2/3 - 1/5 = 10/15 - 3/15

10 - 3 = 7 = 7/15

will give brainliest

Answers

9 feet hope this helps!!! :D may i have brainliest?

PLEASE ANSWER I WILL MARK AS BRAINLIEST

The Bobcats football coach logged the following yardage gains and losses over four plays of a game.

Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?

Enter your answer as an expression, like this: 42x+53y

Answers

I think the answer is the tthhiirrdd one

The expression to represent the net yardage is 30.5x+12.9y.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.

Now, net yardage

= 25x+0.9y+12y+5.5x

= 30.5x+12.9y

Therefore, the expression to represent the net yardage is 30.5x+12.9y.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

Can you help meh answer for brianliest

Answers

Answer:

1st One- 1 13/30

2nd One- 1 13/20

3rd One- 1/6

Step-by-step explanation:

Because yes

Answer:

1 13/30      1 13/20      1/6

Step-by-step explanation:

because i am smart

Find the missing side length

Answers

Option c hope this helps

The point (2, -7) is reflected across the x-axis.

What are the coordinates of the image of the point?

Answers

Answer:

(2,7)

Step-by-step explanation:

When you reflect something across the X-axis, the y coordinate changes sign.

Please help!! I will mark you brainliest

Answers

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

Wrong answers will be reported.

2cos120°-x sin120°. cos180°= x tan150°

Answers

Answer:

[tex]2cos120°-x sin120°. cos180°= x tan150° \\ 2( - \frac{1}{2} ) - x( \frac{ \sqrt{3} }{2} ) \times ( - 1) = x{\frac{ \sin( 150°)}{ \cos(150°)}} \\ ( - \frac{2}{2} ) - \frac{ \sqrt{3} }{2}x \times ( - 1) = x \frac{ \frac{1}{2} }{ - \frac{ \sqrt{3} }{2} } \\ - 1 - ( - \frac{ \sqrt{3} }{2}x) = x( \frac{1}{2} \times ( - \frac{2}{ \sqrt{3} } )) \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{2}{2 \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x =( \frac{ \sqrt{3} }{ \sqrt{3} } )( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = - \frac{ \sqrt{3} }{3} x \\ 6( - 1 + \frac{ \sqrt{3} }{2} x) = 6( - \frac{ \sqrt{3} }{3} x) \\ - 6 + \frac{6 \sqrt{3} }{2} x = - \frac{6 \sqrt{3} }{3} x \\ - 6 = \frac{ - 6 \sqrt{3} }{3}x - \frac{6 \sqrt{3} }{2} x \\ - 6 = (- 2 \sqrt{3})x - (3 \sqrt{3})x \\ - 6 = - 5 \sqrt{3} x \\ x = \frac{ - 6}{ - 5 \sqrt{3} } \\ x = \frac{ 6}{5 \sqrt{3} } \\ x = \frac{6}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{6 \sqrt{3} }{5 \times 3} \\ x = \frac{2\sqrt{3} }{5} [/tex]

Answer:

(2√3 )/5is he value of x.thank you.

I NEED THIS RN PLEASE

Answers

Answer:

The answer is C, 3 to 2

Step-by-step explanation:

This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.

BlacIf w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1?

(-2) 2 - (-8) + 1
(-2) 2 - (8) + 1
-2 2 - (-8) + 1
-2 2 - 8 + 1

Answers

Answer:

-2²   - (-8)  + 1

Step-by-step explanation:

The values given are:

             w = -2 and v = -8

Expression given:

             w² - v + 1

When we substitute, we put a certain value in place of another. In an equation, variables are used as placeholders.

 For this problem:

     w = -2

      v  = -8

So;

            -2²   - (-8)  + 1

Answer:

Given that w=-2 and v=-8

The expression is w²-v+1

Now putting the value of w=-2 and v=+8 in the given expression, we get

(-2)²-(-8)+1

Hence, (-2)²-(-8)+1 is the right answer.

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