What is the solution to this system of equations?

10x-y=53
-13xt92
y=-----------------
2

Answers

Answer 1

Answer:

x = 6, y = -113

Step-by-step explanation:

10x - y = 53 --- Equation 1

y = [tex]\frac{-13x+92}{2}[/tex] --- Equation 2

I will be using the substitution method.

Substitute y = [tex]\frac{-13x+92}{2}[/tex] into Equation 1:

10x - y = 53

10x - ([tex]\frac{-13x+92}{2}[/tex]) = 53

I want to make the denominators on the left side of the equation the same, so I will multiply 10x by 2 so that I can get a fraction.

[tex]\frac{20x}{2}[/tex] - ([tex]\frac{-13x+92}{2}[/tex]) = 53

Now that their denominators are both 2, I can combine the numerators under the same denominator.

[tex]\frac{20x-(-13x+92)}{2}[/tex] = 53

Two minuses, one outside a bracket and one inside makes a plus. One plus and one minus make a minus.

[tex]\frac{20x+13x-92}{2}[/tex] = 53

Evaluate like terms.

[tex]\frac{33x-92}{2}[/tex] = 53

Shift the (÷2) over to the right side and turn into (×2).

33x - 92 = 53 × 2

               = 106

Shift the (-92) over to the right side and turn into (+92).

33x = 106 + 92

      = 198

Find x.

x = 198 ÷ 33

x = 6

Substitute x = 6 into Equation 1:

10x - y = 53

10(-6) - y = 53

Evaluate.

-60 - y = 53

Shift the (-60) over to the right side and turn into (+60).

-y = 53 + 60

   = 113

Find y.

y = -113


Related Questions

36 - (-4) + 5+ (-10) =

Answers

Answer:

=35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

remove parentheses, then solve

36 - (-4) + 5+ (-10) =

36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.

35

hope this helps

3/20 as a percent????

Answers

Answer:

15%

Step-by-step explanation:

Percent is 1/100

3/20 = 15/100 = 15 * 1/100 = 15%

Answer:15%

Step-by-step explanation:

Linear equation:- (6x+ 10) = 13
Step 1: -3–5= 13
Step 2:-3r= 18
Step 3: x=-6
Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
O the addition property of equality and then the
O the sutbtraction property of equality and then the
O the subtraction propety of equality and then the
division property of equality
multiplication property of equality
division property of equality
multiplication property of equality

Answers

Answer:

A: the addition property of equality and then the division property of equality

Step-by-step explanation:

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

39°

Step-by-step explanation:

The equation is

3h+72+8h+95=90

11h+167=90

11h=-77

h=-7

So RGK=

8.-7+95

-56+95

39

) Tina planted 75 plants. N plants did not grow leaving her with 48 plants. Which equation expresses how many plants Tina lost?​

Answers

Answer:

Step-by-step explanation: I think this is the answer

Tina planted 75 plants and only 48 grow

To know how much is lost we subtract 75 from 48 which gives us 27

75-48=27

The perimeter of a triangle is 108ft. The sides lengths are in a ratio of 2:3:7. How long is the shortest side?

Answers

Answer:

18ft

Step-by-step explanation:

2+3+7 = 12 (this means that 108ft is [tex]\frac{12}{12}[/tex])

The shortest side would be [tex]\frac{2}{12}, or \frac{1}{6}[/tex] of 108ft

To find this, we divide 108 by the denominator (6) to get 18ft

We would usually multiply this by the numerator when finding a fraction of an amount, but as the numerator is 1, the answer would stay as 18ft.

When you have no clue what you’re doing

Answers

Answer:

25y^2 -20iy + 4i^2

Step-by-step explanation:

Theres an acronymn called Foil (first, ouside, inside, last) for expanding an expression like that

For this expression:

= (5y - 2i) (5y - 2i)

= 25y^2 - 10iy - 10iy + 4i^2

= 25y^2 -20iy + 4i^2

This is assuming that "i" is not the imaginary number "i"

Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer

Answers

Answer:

no

Step-by-step explanation:

y = -2x + 16

-2 = -2(10) + 16

-2 = -20 + 16

-2 = -4

which is wrong

Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.

y = -2x + 16 > -2 = -2(10) + 16

Now, solve.

-2 = -2(10) + 16 > -2 = -20 + 16  - Start by multiplying out parenthesis.

-2 = -20 + 16 > -2 = -4 - Add.

-2 = -4

The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.

Drugs+Kids=..................

Very tough question guys

Answers

Answer:

= desaster

Step-by-step explanation:

find UT.

- 42.5
- 16.25
- 21.25
- 32.5

Answers

Answer:

32.5

Step-by-step explanation:

Hope this helps:)

WILL GET BRAILIEST FOR CORRECT ANSWER
if x^2=20, what is the value of x?

a. +_ sqrt 10
b. +_sqrt 20
c. +_ 10
d. +_40

(the +_ is that weird symbol that has the plus sign on top of the underscore, i forget what its called)​

Answers

Answer:

x = ± [tex]\sqrt{20}[/tex]

Step-by-step explanation:

Given

x² = 20 ( take the square root of both sides )

x = ± [tex]\sqrt{20}[/tex]

which can be simplified to

x = ± 2[tex]\sqrt{5}[/tex]

[ ± means plus or minus ]

HELP PLEASEEE!!!People develop their personal values through_
experiences.

Answers

Answer:

Personal experiences.

Explanation:

This is because an individual learn from his/hers interactions and actions within a scenario where he/she can achieve growth.

What is the answer i need help?

Answers

I believe the last one is the right answer

WILL GET BRAINLIST
5x+106=7x-10

Answers

Answer:

The answer is 0. hope it helps

Step-by-step explanation:

Answer:

x=58

Step-by-step explanation:

5x+106=7x-10

-2x = -116

x = 58

11 + 16 + 4 = ????????????

Answers

Answer:

31! :D

Step-by-step explanation:

(My discord: TheDiamondDuck #9036)

If you want to join you can,

Good luck!!

God Bless!!

~DuffyDuck~

Find the missing part.

I = 8, w = 4, h = 2

Find the diagonal (d) of the base.

Click and look at the picture fully fill in the purple box​

Answers

Answer:

The Diagonal is 4√5

Which is the complete factorization of this expression?
-24x + 64

Answers

Answer:

−8(3x − 8). thats the answer, im doing the USA testprep too

Malcolm has 225 yards of yarn to make 100 bracelets. Suppose the total length of the yarn stayed the same, but instead of Malcolm making 100 bracelets, he only made 1,000 bracelets. How long will the yarn be for each bracelet

Answers

Given :

Length of yarn, l = 225 yards.

Number of bracelets he made, n = 1000 .

To Find :

How long will the yarn be for each bracelet.

Solution :

Let, length of yarn used in each bracelet is x.

So,

[tex]x = \dfrac{Total\ length \ of yarn}{Number \ of \ bracelets\ made}\\\\x = \dfrac{225}{1000}\\\\x = 0.225 \ yards[/tex]

Therefore, length of yarn used in each bracelet is 0.225 yard.

the question is on the sheet.​

Answers

I’m not sure but I think the answer is C

can someone please help me answer this? i will mark you brainliest!!! i really need help plss

Answers

Answer:

3.5

Step-by-step explanation:

If you get more like this just divide the big triangle to the small one. on the same lengths. Example: on this one do 14/4 = 3.5, 10.5/3 = 3.5, 21/6 = 3.5

Hope this helps! :)

h e l p m e p l e a s e

Answers

Answer:

(x-4) is the common factor

Step-by-step explanation:

Answer:

x-4

Step-by-step explanation:

Give the slope of any line that is perpendicular to the line y = -1/8 x + 5

Answers

Answer:

8

Step-by-step explanation:

To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope.  In this case we are already given the slope as the coefficient to x: -1/8.  The negative reciprocal of that is 8/1, or just 8.

i need this ASAP!!!
please helppppp

Answers

Answer:

EASY

Step-by-step explanation:

the answer is ..........................................................................

2

Need help ASAP pls will give brainliest pls need answer fast

Answers

Answer: C

Step-by-step explanation: all other statements are true because of CPCTC theorem. Therefore, we can conclude that C is the correct answer

Answer:

C

Step-by-step explanation:

Isabella deposited $2,000 in an account that pays 5% simple annual interest. After one year, how much interest in dollars and cents will her investment have paid? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

$100

Step-by-step explanation:

Simple Interest formula is given as:

A = P(1 + rt)

Where

A = Amount after t years

P = Principal = Initial Amount Invested = $2000

r = Interest rate in t years = 5%

t = time = 1 year

A = 2000(1 + (0.05 × 1)) = 2100

A = $2,100.00

The Amount after 1 year = $2100.00

The Simple Interest is calculated as

= A - P

= $2100 - $2000

= $100

Therefore, after 1 year her investment would have paid $100

I need help please!!!!!!!
Rex deposited $1,000 into an account that earns 4% compound interest, compounded annually.How much interest will Rex earn after 10 years?

Answers

Answer:

km

Step-by-step explanation:

is someone willing to help me with my math homework? i really don’t understand :/

Answers

What is the homework?

Can someone please help with this.

Answers

Answer:

92

Step-by-step explanation:

Sum of 2 interior angles= exterior angle so

148=56+h

h= 148-56

Which has a greater magnitude: 11 feet below sea level or 17 feet below sea level ?

Answers

Answer:

Your answer would be 17 feet! :)

Step-by-step explanation:

I did the research for you

Find the range of the graphed function.
a. 0 ≤y ≤10
b. y ≥0
c. y is all real numbers.
d.-9 ≤y ≤5

Answers

9514 1404 393

Answer:

  d.  -9 ≤ y ≤ 5

Step-by-step explanation:

The range is the vertical extent of the graph. This graph goes from a low of -9 to a high of +5. Then the range is ...

  -9 ≤ y ≤ 5

The answer is d.
Domain and range are based on the highest and lowest point of each axis

I hope this helps :)
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