Solving systems of equations by elimination worksheet
1. y = 6x-11
-2x-3y = -7
2. 2x-3y = -1
y = x-1

Answers

Answer 1
Solving systems of equations by elimination

1. steps to find the value of x

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate y:

-6x+y= -11 | times -3| becomes 18x-3y=33

18x-3y=33

-2x-3y = -7

y in the equation can be eliminated to become:

20x=40

x=40/20

x=2

steps to find the value of y:

The first step is to equalize the form of the equation.

y = 6x-11 = -6x+y= -11

-2x-3y = -7

thus becoming:

-6x+y= -11

-2x-3y = -7

Then eliminate x:

-2x-3y = -7 | multiplied by 3| becomes -6x-9y=-21

-6x+y= -11

-6x-9y=-21

x in the equation can be eliminated to become:

10y=10

y=-10/10

y=1

2.

1. steps to find the value of x

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate y:

-x+y=-1| times -3| to 3x-3y=3

-2x-3y = -1

3x-3y=3

y in the equation can be eliminated to become:

-5x=-4

x=4/5

Steps to find the value of y:

The first step is to equalize the form of the equation.

2x-3y = -1

y = x-1 becomes -x+y=-1

thus becoming:

-2x-3y = -1

-x+y=-1

Then eliminate x:

-x+y=-1| multiplied by 2| becomes -2x+2y=-2

-2x-3y = -1

-2x+2y=-2

x in the equation can be eliminated to become:

-5y=1

y=-1/5

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Related Questions

To begin a bacteria study, a petri dish had 2500 bacteria cells. Each hour since, the number of cells has increased by 4.6%.
Let ( be the number of hours since the start of the study. Let y be the number of bacteria cells.
Write an exponential function showing the relationship between y and

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Answer:

Amaxesha amnandi ukuba unexesha elimnandi enkosi kuThixo ukuba unexesha elimnandi enkosi kuThixo ngokuba nexesha elimnandi enkosi kuThixo ngokuba nexesha elimnandi bulela uThixo ngokuba nexesha elimnandi

(c) At an auction, a table was bought for £56.
This was 20% below the table's actual value.
What was the table's actual value?

Answers

£70
if 100%= ?
80%=56

100/80=1.25
1.25 x 56
=70

Find the circumference of each circle. Use 3.14

for π. Round to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

42(3.14)=131.9(nearest tenth)

Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?

Answers

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

so nearest 100 th would be 2.4

What's the probability you will flip 3 coins in a row and they all land on HEADS?
A. 3 out of 6 chance
B. 1/8 chance
C. 2 in 16 chance
D. 4 in 5 chance

Answers

Answer:

B. 1/8 chance

Step-by-step explanation:

Every time you flip a coin you have a 1/2 probability of landing on heads.

If you repeated the process three times in the row

It would be 1/2 x 1/2 x 1/2 = 1/8

The odds they all land on heads is 1/8

Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,

48 in

69 in

286 in

572 in?

Answers

Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

I’m not sure how to answer this pls help

6.1 x 1.9 + 3.7

Answers


The answer is 15.39.

Answer: 15.29

Step-by-step explanation: Simplify

What is the area of the following polygon? Explain your process for how you arrived at the final area. Show your work.

Answers

Answer: 400

Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400

Answer:

Step-by-step explanation:

Answer: 400

Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400

Which could be the value of x in the
triangle below?

Answers

Answer:

6

Step-by-step explanation:

I'm going to assume that this is a right triangle

which means that

3x²+6²=19²

9x²+36=361

9x²=325

3x=18.0277

x=6


Select the correct answer from each drop-down menu.
The corresponding sides of two similar triangles are
The corresponding angles of two similar triangles are
Reset
Next

Answers

Answer:

1)proportional

2)Congruent

Step-by-step explanation:

The corresponding sides of two similar triangles are in equal proportion.

The corresponding angles of two similar triangles are congruent.

What are similar triangles?

The two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.

Given that. we need to find the correct answer from each statement.

According to the definition of the similar triangles,

two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.

Hence, the correct statements are:

The corresponding sides of two similar triangles are in equal proportion.

The corresponding angles of two similar triangles are congruent.

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Joong Ki paid a total of ₱90 for 6 singkamas and 11 ponkans. If a singkamas and a ponkan cost ₱10, how much does each cost? ANSWER: Singkamas is ₱___ while ponkan is ₱___. *

Answers

Step-by-step explanation:

singkamas: 60 pesos

ponkan: 110 pesos

Which expression is equivalent to 5(2x +10)

Answers

Answer:(5 + x)(2x + 10)

Step-by-step explanation:

Im pretty sure its that

The expression that is equivalent to 5(2x +10) is 10(x+5).

The Given expression is:

[tex]5(2x+10)[/tex]

What is an expression?

An expression is a set of the algebric terms combined using mathematical operations.

The given expression can be written as:

[tex]5*2x+5*10[/tex](using the distributive property)

[tex]=10x+50[/tex]

[tex]=10(x+5)[/tex]

So, equivalent expression =10(x+5)

Thus, the expression that is equivalent to 5(2x +10) is 10(x+5).

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Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students said they liked to sleep in, how many students did Maria survey?

Answers

Answer:

6

Step-by-step explanation:

Las medidas interiores de una piscina portátil cilíndrica son 0.85 m de radio y 0.60 m de altura.
¿Cuántos litros de agua le caben?

Answers

Answer:

es ovio

Step-by-step explanation:

investiga xd xd xd

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Answers

Answer:

Mm pues la verdad si quisiera responderte pero no le entiendo a eso desde cuarto así que bye

i ready classroom grade 8 volume 1 mathematics

Can anyone help me with this asap !!!

Answers

Answer:

COCO is life

Step-by-step explanation:

COCO is = to food and water

And food of COCO contains 2grams

Water of COCO contains 10 liters

So add grams and liters together

And u get this

10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco

=coco 10274728l

Which graph represents this system?
Y=3
X+ y = 4


Answers

Answer:

Step-by-step explanation:

plz help!!! i’ll mark brainliest!!!!

Answers

Step-by-step explanation:

go to rcboe.org sorry if it doesn't work

please help!!!!!!!!!!!!​

Answers

Step-by-step explanation:

1 3/4 × 4/7 = 1

вот правильный ответ я проверяла )

Answer:

4/7

Step-by-step explanation:

13/4.x=1

7/4x=1

x=4/7

WILL GIVE BRAINLEST Find the measure of the arc or central angle indicated. Assume that lines which
appear to be diameters are actual diameters.
find the measure of arc FHJ

Answers

Answer:

It should be 261 degrees.

Step-by-step explanation:

The price of a television is $567.31. The state sales tax rate is 8.3%.

What is the total cost of the television?

Answers

8.3%= 0.083

567.31 * .083 = 47.086 = 47.09

567.31+47.09= $614.40

Total cost is $614.40

Answer:

[tex]2.64957x10 [/tex]

[tex]8547 \times 31[/tex]

[tex] = 264951[/tex]

ALGEBRA 2:

my brain can’t handle this please i’m begging 35 points!! + brain lies

Answers

Answer:

Batoon you okay U-Pack guitar a Jeffrey vaginas how much are I guess you're everything

The a part is figure 1, but in b I’m not sure if is 6.30 or 143.44, I just hope this help u.

Sandra has a $20 itunes gift card and spends $3 each month. Which of the following functions models how much money Sandra has on her gift card after x months?

Answers

Answer:

x3-20

Step-by-step explanation:

x stands for the month 3 is the money that she is spending each month if you multiply those together you get the amount of money she has spent over x amount of months minus the 20 dollars on her gift card



7/17% of a quantity is equal to what fraction of the quantity?

Answers

Answer:

41/10,000

Step-by-step explanation:

7/17% = 0.41% = 0.0041

41/10,000

The given quantity 7/17% is a whole fraction of the number 41.17.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

here,
Let the x be the required number,
x  = 7 / 17%
x = 7/ 0.17
x = 41.17

Thus, the given quantity 7/17% is a whole fraction of the number 41.17.

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Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8

Answers

It should be 3/11 because we know that 11 is a number where if almost any number divide 11 is a repeating.

At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $10 off. Which expression represents the total cost for Mr. Thompson to rent a kayak for k hours and a paddle board for p hours..

Answers

Answer: its 18k+22p-10!

Step-by-step explanation:

I did the test got it correct, PLS MARK BRAINLIST

Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

At cycle and sport, customers can rents bikes, electric scooters, kayaks, canoes, or paddle boards by the hour. Mr Thompson is renting a kayak and a paddle board for his family. He has a coupon for $[tex]10[/tex] off.

So,the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

Hence, the total cost for Mr. Thompson to rent a kayak for [tex]k[/tex] hours and a paddle board for [tex]p[/tex] hours is [tex]18k+22p-10![/tex].

To know more about the equation

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1/4(16w+5) we need to simplify the answer

Answers

Answer:

4w + 5 / 4

Step-by-step explanation:

1/4 × 16w + 1/4 × 5

= 4w + 5 / 4

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

3% of $750 is $22.50 so the answer is $772.50.

Answer:

$806.25  i *think*

Step-by-step explanation:

3% of 750 is 22.5 so add that every year

Year 1 : 750 + 22.50 = 772.50

Year 2 : 772.50 + 22.50 = 795.00

Year 2.5 : 795.00 + 11.25 = 820.50


John earns $7.50 per hour at his job. Becky's earnings are given by the equation P = 8.25x, where P is her
total earnings, in dollars, and x is the number of hours worked. If they each work 9 hours, who earns more
and how much more

Answers

in 9 hours
john earns $67.5
becky earns $74.25
becky earns $6.75 more than john

A fish tank has 45 gallons of water in it. If it is 90% full, what is the full capacity of the fish tank? The fish tank can hold gallons of water when full to capacity.​

Answers

the answer is 50 gallons because 45 gallons is 90% of 50 gallons

Answer:

My answer is 55 or 60  which would be 100%

Step-by-step explanation:

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