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:

33

Step-by-step explanation:

please mark me as brainliest!!<3

The graph isn't included in this answer,but if he downloads 12 songs,his total will be 12 dollars spend, Assuming that Lanise's plan is cheaper than Connor's  it would have to be between A,B with a possibility of D.

PLEASE ADD GRAPH

Answer:

C. $6

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

54=9(x+3)

54=9x+27

27=9x

3=x

hope this helps! let me know if you have any questions abt how i solved

Answer:

interpret the question straight comments please

Step-by-step explanation:

Answer:

[tex]16^\circ, 88^\circ, 76^\circ[/tex]

Step-by-step explanation:

Given a triangle.

One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.

Third angle is [tex]4^\circ[/tex] more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = [tex]x^\circ[/tex]

As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]

And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].

[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]

Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]

The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]

The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]

Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].

Answer:

(x-6)/8

Step-by-step explanation:

it cannot be simplified any further

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer:

•3/2 cm/s

Step-by-step explanation:

from (0, 0) to (6, 9). The graphed function rose 9 units (went up) and ran 6 units (shifted right). In slopes, we use this equation:

[tex] \frac{rise}{run} [/tex]

to find slopes. So ⁹⁄₆ is what we get. But ⁹⁄₆ simplified is ³⁄₂, so that's the answer.

Answer:

x = 5

Step-by-step explanation:

Divide 25 by 5, you get 5, so, x = 5.

1/12 is the answer there wasnt much specified but thats what i came up with and btw if your just asking a question i honesty dont think blue looks good on a suv :)

Answer:

yes

Step-by-step explanation:

Answer:

|-8| = 8

Step-by-step explanation:

legit just the opposite of the integer.

Answer:

5 is the slope

Step-by-Step Explanation:

(10, 50) x1 and y1

(20, 100) x2 and y2

[tex]\frac{100-50}{20-10}[/tex]=[tex]\frac{50}{10}[/tex]

50÷10=5

If this helped you make sure to make my answer brainliest. Thank you.

Answer:

-32 is colder

Answer:

-32 degrees? i believe so

Have A Wonderful Day !!

Answer:

7 / 12

Step-by-step explanation:

(0 + 1/2 + 1/2 + 1/2 + 1 + 1) / 6 = 7 / 12 or 0.58

Answer:

[tex] {(x - 4)}^{2} + 6[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]

The completed square form of  x² - 8x + 22 = 0 is (x - 4)² = - 6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, a quadratic equation x² - 8x + 22 = 0.

We know (a - b)² = a² - 2ab + b².

∴ x² - 8x + 22 = 0 is

(x)² -2(x)(4) + 4² + 6 = 0.

(x - 4)² = - 6.

learn more about quadrilaterals here :

https://brainly.com/question/17177510

#SPJ2

Answer:

c

Step-by-step explanation:

c

Answer:

The ? should be a 6

Answer:

Step-by-step explanation:

6

Answer:

Answer is the 3rd one

Step-by-step explanation:

They are asking to see what other angle looks equivalent  to angle Y, so simply just look at the other angles and later you come to find that angle C is an exact match compared to angle Y.

Have a great day!

Answer:

A.) 4cd^2

B.) 3a^2b^3

Step-by-step explanation:

simplify by following the rules to adding exponents

Answer:

12.9 - 22.7b

Step-by-step explanation

Given the expression 4.3(3-5b) = 1.2b

Open the bracket

4.3(3-5b) = 1.2b

4.3(3)-(4.3)(5b) = 1.2b

12.9 - 21.5b = 1.2b

12.9  - 21.5b - 1.2b

12.9 - (21.5+1.2)b

12.9 - 22.7b

Hence the required expression is 12.9 - 22.7b

Answer:

1000

Step-by-step explanation:

Answer:

5 guests: 6 slices 10 guests: 3 slices 15 guests : 2 slices

Step-by-step explanation:

So, we have 30 slices of pizza and 5, 10, and 15 slices

So , we need to divide 30 by each of the guests

30÷5=6

30÷10=3

30÷15=2

We can also heck by multiplying teh guests by our answer

5*6=30 ✔️

10*3=30✔️

15*2=30✔️

So, for 5 guests, each oione gets 6 slices

For 10 guests, each guest gets 3 slices

For 15 guests, each guest gets 2 slices

Answer:

A. 76%

Step-by-step explanation:

70+6=76 squares are shaded

Answer:

I dont under stand sorry :(

Step-by-step explanation:

Answer:

B. y=3/2x - 4

Step-by-step explanation:

As you see in the graph the y intercept was lying on -4 and you rise 3 time and run 2 time to get to your next point.

Answer:

it is c

Step-by-step explanation:

use your brain

Answer:

C

Step-by-step explanation:

the lowest y coordinate is -1 with a closed point which means its included while the highest point is 4 with an open circle which means 4 is not included

Answer is

n=3.207534,−3.207534

Step-by-step explanation: looked it up lol.

Answer:

Rewrite the equation as

n6 =

33

2

.

n

6

=

33

2

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

n

=

±

6

√

33

2

Simplify the right side of the equation.

Tap for more steps...

n

=

±

3

√

33

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

n = 3√33,−3√33

The result can be shown in multiple forms.

Exact Form:

n = 3√33,−3√33

Decimal Form:

n = 3.20753432,−3.20753432

Step-by-step explanation:

Answer:

y = -3x + 2

Step-by-step explanation:

b is your y intercept, where the line crosses the y axis

m is your slope, since the line is going down we know it is negative

the slope was -6/2, which simplifies to -3

Answer: -10x=-3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

First you have to start by combining like terms.  On the left side of the equations we can combine the like terms 5x and -9x to get -4x

Now the equation is -4x-1=6x-4 Now solve for x

Add 4x to both sides      -1=10x-4

Add 4 to both sides        3=10x

Divide both sides by 10    x=3/10

Answer:

3rvf31he

Step-by-stececyeuoy