Solve the system using linear combinations.
–5x + y = 1
9x – 2y = 4

Answers

Answer 1
Multiply first equation with 2. Then add first and second, we get -x=6. X=-6 and y=-29
Answer 2

Answer:

(-6, -29)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5x + y = 1

9x - 2y = 4

Step 2: Rewrite Systems

-5x + y = 1

Add 5x on both sides:                    y = 5x + 1

Step 3: Redefine Systems

y = 5x + 1

9x - 2y = 4

Step 4: Solve for x

Substitution

Substitute in y:                    9x - 2(5x + 1) = 4Distribute -2:                       9x - 10x - 2 = 4Combine like terms:           -x - 2 = 4Isolate x term:                     -x = 6Isolate x:                              x = -6

Step 5: Solve for y

Define equation:                     -5x + y = 1Substitute in x:                         -5(-6) + y = 1Multiply:                                    30 + y = 1Isolate y:                                   y = -29

Related Questions

Subtract 5y^2 + 3y + 11 from 4y^2 + 7 - 6y.

show steps please i know the answer but i need the steps :/

Answers

Answer:

I got -y^2 - 9y -4 (I hope it helps)

Step-by-step explanation:

4y^2 - 5y^2= -y^2

7-11= -4

-6y + -3y= -9y

-y^2 -9y -4

if a circle has a circumference of 6/5 pi centimeters how long is its radius in centimeters

Answers

Answer:

r=3/5 centimeters

Step-by-step explanation:

C=(2)(pi)(r), where C= circumference and r=radius

6/5*pi=2*pi*r

divide both sides by 2pi

r=6/5pi*1/2pi

r=3/5

Please answer this question, worth ten points

Answers

Answer: 39.9

Step-by-step explanation: 9.5×4.2

Answer:

The answer is 39.9

Step-by-step explanation:

The formula for a parallelogram is base multiplied by height so 9.5 × 4.2 is equal to 39.9 :) hope this helps

can you please help me
Step by step as well for brainliest

Answers

Answer:

Step-by-step explanation:

42:7=ED:24

cross multiply 42 into 24.

Then divide by 7

you will get ED

Then use pythageorous theorem.

Ed square + 42 square=Ef square

Then do square root of Ef square

The ratio of bOYS to giris
that went to camp Ozarks
this summer was 4:5. If
there were 32 boys that
went to the camp, how
many girls were there?

Answers

Answer:

There were a total of 40 girls there

Step-by-step explanation:

32 divided by 4 is 8

So multiply 8 x 5 to get 40

Explain how to determine the locations (quadrants) based on the signs of the points (3, –4) and (–4, 3).

please hurry i will rate 5 stars and a heart

Answers

If(-x,+y) Q2. If (+x,+y) Q1. If(-x,-y) Q3. If(+x,-y) Q4. Since 3 is positive and (-4) is the y value (3,-4) is in Q4. (-4,3) is in Q2
(-) negative. (+) positive.

Yvonne made 12 more cupcakes than she did yesterday. She made a total of 68 cupcakes over the two days. How many cupcakes did she make the second day?

Answers

Answer:

56

Step-by-step explanation:

68-12=56

Answer:

56

Step-by-step explanation:

56

Convert 7 months into days.

Answers

Answer:

212 days are in 7 months

Answer:210 days in 7 months

Step-by-step explanation:

PLEASEEEEE HELPPPPP!!

Answers

Answer:

1) b-x/a

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

x + ay = b

Subtract x from both sides;

ay = b - x

Divide both sides by a;

y = [tex]\frac{b-x}{a}[/tex]

2x + 3y = 10
4x - y = -1
Solve the simultaneous equation.

x=__
y=__

Answers

X= 1/2
Y= 3
(That’s using substitution)

The value of x = 1/2 , y = 3 of the simultaneous equation.

What are simultaneous equation ?

"Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations. When you are asked to solve such equations, you must find values of the unknowns which satisfy all the given equations at the same time. They are Simultaneous Equations because the equations are solved at the same time. Simultaneous Equations need algebraic skills to find the values of letters within two or more equations."

Given, The equations

[tex]2x + 3y = 10[/tex] ----------- eq 1

[tex]4x - y = -1[/tex] ------------ eq 2

multiplying eq 1 by 2

[tex]4x + 6y = 20[/tex] ----------- eq 3

now subtracting eq 3 from eq 2

we get, [tex]7y = 21[/tex]

y = 3 and x = 1/2

Hence, the values of x and y = 1/2, 3 respectively.

To know more about Simultaneous Equation here

https://brainly.com/question/16763389

#SPJ3

Divide the polynomials.
right answers only

Answers

Answer:

x+9

Step-by-step explanation:

I got it right on the quiz

Divide. Round to the nearest tenth.
8 divided by 6.403

Answers

Answer:

1.2

Step-by-step explanation:

(I am not a good explainer)

1.250 I think I feel like that could be it

Write the equation of this line in Point-Slope Form.​

Answers

Answer:

y -3 = (-1/2)(x - 5)

Step-by-step explanation:

Slope of line:  Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1.  Thus, the slope is m = -1/2.

Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:

y -3 = (-1/2)(x - 5)

What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.

Answers

Answer:

(4,-2.5)

Step-by-step explanation:

because you move to the right it is a positive x-axis point and since you are moving down it is a negative y- axis point

Answer:

-3,-4.5

Step-by-step explanation:

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a system of equations and solve to find out the cost for each pound of apples and each pound of oranges.

Answers

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

Select the equivalent expression

Answers

Answer:

D is the answer of this expression

A deck builder uses 11 bags of concrete mix for every 5 deck footings. If the builder needs to build 12 deck footings, how many bags of concrete mix will be used?

Answers

I think it is 220 bags but i am stuipd

Which of the following equations is equivalent to 4x+2y=12
A. 2x+2y=6
B. 8x+2y=24
C. 2x+y=6
D. 4x+4y=24

Answers

Answer:

my answer lies in paper

Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?

Answers

Answer:

23.75

Step-by-step explanation:

Given that:

Brian's age = 27

Age of Chris is 17 more than one - fourth of Brian's age.

To find:

Age of Chris = ?

Solution:

Let age of Chris = [tex]x[/tex]

One - fourth of Brian's age =  [tex]\frac{27}{4}[/tex]

17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17

Therefore, we can write the equation as per question statement:

[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]

Therefore, Chris is 23.75 years old if Brian is 27.

Lines / and mare parallel. Line / can be represented by the equation 3x + 4y = 8. If line m passes through the po
m?
y-5= -
(x+2)
y +5 = -
44-2)
y-5= f «+2)
y+5 = ģ«-2)

Answers

Answer:B

Step-by-step explanation:

Answer:

B y-5=- 3/4(x-2)

Step-by-step explanation:

Amitas kitchen is rectangular with an area of 3 3 4 square meters the width of the kitchen is 1 1 2 meters what is the length in meters of amitas kitchen

Answers

Answer:

2 1/5 meters

Step-by-step explanation:

Given that:

Area of kitchen = 3 3/4

Width of kitchen = 1 1/2

Length = x

Recall : Area of rectangle = Length * width

Area of kitchen = length * width

3 3/4 = x * 1 1/2

15 / 4 = x * 3/2

x = 15/4 ÷ 3/2

x = 15/4 * 2/3

x = 30/12 = 2 6/30

x = 2 1/5

Find the common difference of the arithmetic sequence 7, 2, -3,

Answers

-5 ,,, each number is being subtracted from 5 so the sequence will continue 7,2,-3,-8,-13......

Jesse enjoys watching ‘Rudolph the Red-Nosed Reindeer’ during the holidays. If Jesse watches the movie three times every year, how many times will she have seen the movie when she turns 24?

Answers

Answer:

72

Step-by-step explanation:

Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72

Answer:

72

Step-by-step explanation:

18. Write an equation in​ point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3

20. Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2

21. Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2

Answers

Answer:

(-4,-2); y=4x+2

Step-by-step explanation:

HELP! IS THIS RIGHT?

Answers

Answer:

60x+300=96x-24

324=36x

x=324/36

x=9

yes it is correct

Find the value for p given the equation p/2+1=3

Answers

Take 1 to the other side as negative


p/2=2


Take 2 to the other side and multiply it


2*2 is 4


So p is 4

1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25

Answers

B. -25
The answer to X has to be negative. Since -2/5 is negative and we’re trying to get to 10, we need another negative to cancel out the negative into a positive. Multiply -2/5 by X (-25) so it’s -2/5 x -25/1. Negative times negative is positive. 2 x 25 is 50. 5 x 1 is 5. 50/5 is 10.

1.3181818...... as fraction units lowest term​

Answers

Answer:

29/22

Step-by-step explanation:

Let x = 1.31818181818....

Then, 10x = 13.18181818..., and 1000x = 1318.18181818..... Subtracting the first equation from the second, we get that 990x = 1305. This means that x = 1305/990. In lowest terms, this is 29/22.

the spring in a toy rocket launcher has a spring constant of 44 N/m. how far must you compress the spring to cause it to exert a force of 8 N?

Answers

Answer:

0.18 m for A P E X

7 + 2 (a -3) = -9
What is the answer do this?

Answers

Answer:

7+2(a-3)=-9

a= -5

Step-by-step explanation:

7+2(a-3)=-9

Distribute 2 through the parentheses

Example: 7+2a-6=-9

Next: 7+2a-6=-9

Subtract the numbers

1+2a=-9

Move constant to the right hand side and change its sighn 2a=-9-1

2a=-9-1

Calculate the difference

2a=-10

Divide both sides of the equation by 2

Answer: a=- -5

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