Given a system of two equations in Two variable, replacing one equation by the sum of that equation and multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. Use addition property of equality and multiplication property of equally in your answers.



1. To solve the system using elimination, First multiply the bottom equation by two. Write the new system of equations.
5x+2y=7



2. Why is this multiplication allowed?

3. What variable will be eliminated when the equations are combined after the multiplication?


4. Next, add the equations tighter. Your answer should be a single equation with one variable.


5. Why can you add the equations


6. Solve the equations for x

7. Substitute x back into one of the equations solve for y


8. What is the solution to the system of the equations?



Please I need this in 24 hours

Answer:

The answer is 3 7/12 Hope this helps :)

Step-by-step explanation:

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

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Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

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Move all terms not containing yy to the right side of the equation.

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Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

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Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

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Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

Answer: that is the answer to both

Step-by-step explanation:

Answer:

18 inches, assuming that the height is the length of the TV screen.

Step-by-step explanation:

First off, the shape of a TV screen is a rectangle.

To get the area of a rectangle, the equation would be:

H * W = A

where H = height, W = Width, and A = area.

If we pluck in the values given in the question, we get:

H * 32 = 576

To find out H, we have to get rid of the 32.

To do that, we divide both sides by 32.

Therefore, the equation is now:

H = 18.

Thus, the height of the TV screen is 18 inches.

Answer: h = 18 inches

Step-by-step explanation:

Answer: Caiden

Step-by-step explanation:

For Caiden, at the second minute, the water is already at 7 ounces. However, Bella is still at 8 ounces. And Caiden is drinking at a speed of 2.5 ounces per minute while Bella is drinking at a speed of 2 ounces per minute.

Hope that helped!

Answer:

5(x - 5)(x + 4)

Step-by-step explanation:

Given

5x² - 5x - 100 ← factor out 5 from each term

= 5(x² - x - 20) ← factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, then

x² - x - 20 = (x - 5)(x + 4) and

5x² - 5x - 100 = 5(x - 5)(x + 4)

Answer:

Step-by-step explanation:

here you go mate

step 1

5x2 − 5x − 100  equation

step 2

5x2 − 5x − 100  factor

5x^2 - 5x - 100 = 5

answer

5(x+4)(x-5)

Answer: What is the ratio of 7 to 2?

Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7

What is the ratio of 7 to 5?

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Step-by-step explanation:

Answer:

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Step-by-step explanation:

The formula for Average speed = Distance/ Time

Monica swims the 200, 400, and 1,000 meter freestyle swimming events.

We are to calculate: average speeds in all these events (meters/second).

At the last swimming meet she swam

For the 200m

Time 1 minute 4 seconds

60 seconds = 1 minutes

Hence, Time = 60 + 4 = 64 seconds.

Average speed = 200m/64 seconds

= 3.125 meters/seconds

For 400m

Time = 2 minutes 31 seconds

1 minute = 60 seconds

2 minutes = 60 × 2 = 120 seconds

Total time = 120 + 31 seconds = 151 seconds

Hence, Speed = 400m/151 seconds

= 2.649 meters per second

For 1,000 meter

Total time = 7 minutes 11 seconds.

1 minute = 60 seconds

7 minutes = 60 × 7 = 420 seconds

Total time = 420 + 11 seconds = 431 seconds

Hence, Speed = 1000m/431 seconds

= 2.3201856148 meters per second

Approximately = 2.320 meters per second

Therefore her speed were

a) 200 meters = 3.125 meters/seconds

b) 400 meters = 2.649 meters per second

c ) 1000 meters = 2.320 meters per second

Answer:

3.125m/s

2.469 m/s

2.320 m/s

Step-by-step explanation:

Average speed = total distance / total time

60 seconds = 1 minute

Converting minute into second = (1 x 60) + 4 = 64 seconds

(2 x 60) + 31 = 151 seconds

(7 x 60) + 11 = 431 seconds

Average speed = 200 meters / 64 seconds = 3.125m/s

Average speed = 400 meters / 151 seconds = 2.469 m/s

Average speed = 1000 meters / 431 seconds = 2.320 m/s

Answer:

equation: b+(b-4)=348

Step-by-step explanation:

B+t=348

b+ 1(b-4)=348

b +b -4=348

this is if u want what b is

2b-4=348

2b-4+4=348+4

2b= 352

2b÷2 = 352÷2

b=176

Answer:

X=5

Exlanation

Answer:

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ²/₅x + 1    ⇒     m₁ =  ²/₅

²/₅m₂ = -1        ⇒   m₂ = -⁵/₂

So, any line with slope m =  -⁵/₂ will be perpendicular to y = ²/₅x + 1  

Answer:

(-3,-6)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

Answer:

I solved it for u!

Hope it helps

Step-by-step explanation:

Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it

So here angle 3 = 64°

So angle 1= 64°

Answer:

The answer to your question is 16.3.

Answer:

The ticket increased 57% of its original price

The baggage price was 44.5 increased 0.11% and then became 50

Step-by-step explanation:

So if the amount was 200 and now is 350, we should use division.

200 ÷ 350 = 0.5714285714285714 which you can round to 0.57 or as many digits as the question asked for. In thise case I will use 0.57

0.57 converted to percentage is 57%

About the second question

now you know the amount after increase and the percentage. So all you have to do is reverse.

11% = 0.11

0.11  ✕ 50 = 5.5    

this means the price increased 5.5

50 - 5.5 = 44.5

Answer:

20/54

Step-by-step explanation:

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

Answer:

506

Step-by-step explanation:

To find a percent answer is easy, just do this:

Enter your base number here: 460

Enter your percent here: 110%

460 x (convert 110% to a decimal) 1.1 = 506

Your welcome =)

Answer:

The answer is 506

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go mate :)

step 1

2(x + 4) = -6  solving for x

step 2

2(x + 4) = -6  simplify by distributing

2x+8=-6

step 3

2x+8=-6  subtract 8

2x=-14

step 4

2x=-14  look for the number that can divide them both like 2

2x/2=-14/2

answer

x=-7

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

Answer:

you didnt add a picture but i assume you want the percentage of tax which would be 8%

Step-by-step explanation:

Answer:

1 - 26

2 - 13

3 - n/a

4 - n/a

5 - n/a

6 - n/a

7 n/a

8 n/a

9/10/11/12 - all n/a

Step-by-step explanation:

Answer:

2 and 13

Step-by-step explanation:

Answer:

And 2 from grand-pa pa

Step-by-step explanation:

Answer: 6 snack bags

Step-by-step explanation:

In rder to know mnay bags destiny ca make, we need a number is a factor of 18 and 12, so that the 18 chocolate candy bars and the 12 cookies can be divided up evenly.

So, if there were 2 bags, thre would be 18÷2=9 chocolate candy bars and 12÷2=6 cookies in a bag. This creates identical snack bags, but isn't the greatest number of bags!

To find the greatest snack bag, we want to find the greatest common factor of 18 and 12

To do so, let's find factors of 18 ans 12

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

The greatest common factor of 18 and 12 is 6. in math notation this looks like:

gcf (18, 12) = 6

The greatest number of identical bags can make is 6

Answer:

A.

Step-by-step explanation:

You need to solve for p on both inequalities.

4 ≤ p - 8

12 ≤ p

p - 14 ≤ 2

p ≤ 16

This means that p is greater than or equal to 12 but less than or equal to 16.

12 ≤ p ≤ 16

Therefore, the answer is A.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

7x+10=3x+13

Step 1: Subtract 3x from both sides.

7x+10−3x=3x+13−3x

4x+10=13

Step 2: Subtract 10 from both sides.

4x+10−10=13−10

4x=3

Step 3: Divide both sides by 4.

4x/4=3/4

x=3/4

Answer:

3^4x-5=1/27^2x+10

We move all terms to the left:

3^4x-5-(1/27^2x+10)=0

Domain of the equation: 27^2x+10)!=0

x∈R

We get rid of parentheses

3^4x-1/27^2x-10-5=0

We multiply all the terms by the denominator

3^4x*27^2x-10*27^2x-5*27^2x-1=0

Wy multiply elements

81x^6-270x^2-135x^2-1=0

We do not support expression: x^6    

Step-by-step explanation:

Answer:

i think 3.20

Step-by-step explanation:

im not sure

Answer:

x + 3x = $400

the jacket cost price of Cindy nd Jill is $100 and $300 respectively

Step-by-step explanation:

The computation is shown below:

Here we assume the cindy be x

So the Jill be 3x

Now the equation is

x + 3x = $400

4x = $400

x = $100

So the Cindy jacket cost is $100

And, the Jill jacket cost would be

= 3x

= 3(100)

= $300

Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively