x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.

Answers

Answer 1

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.


Related Questions

Need help. I don't understand this question.

Answers

Answer:

The first is 1 and the second is 28 i believe

Step-by-step explanation:

Hope this helps:)

work out the volume of the cone giving your answer to 3 significant figures 7cm 24cm 25cm

Answers

Answer:

1230

Step-by-step explanation:

[tex]\frac{\pi }{3}[/tex] x 49 x 24 = 1230 cm^3

3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks​

Answers

Step-by-step explanation:

2wks = 24 days

If he spent 60days going 127.8 miles

He will spend 14 days going X miles

60/14 =127.8/X cross multiply

60X= 14×127.8

X=( 14×127.8)÷60

X= 29.82 miles

Find the unit rate for each person's typing test in words per second 0.5 words/second is the unit rate for James. 3 words/second is the unit rate for Shanya words/second is the unit rate for Tristan, words/second is the unit rate for Ebony, So. is the fastest typist​

Answers

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

James: 0.5 words per secondShanya = 3 words per seconds

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist

Read more about unit rates at:

https://brainly.com/question/11848573

Answer:

✔ 1.5

words/second is the unit rate for Tristan.

✔ 2

words/second is the unit rate for Ebony.

So,

✔ Shanya

is the fastest typist

thanks and 5 stars >:(

M is the midpoint of the segment. Find the length of XM.

Answers

Answer:

x=2 and XM=11

Step-by-step explanation:

because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.

set these expressions equal and solve:

4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:

x=2

then to find XM, plug in this value of x to get XM=11

4(2)+3=11

Given ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S?
96°
26°
58°

Answers

Answer:

  96°

Step-by-step explanation:

We assume you intend ...

  ΔLMN ~ ΔQRS

Then corresponding angles have the same measure:

  ∠M = ∠R = 26°

  ∠L = ∠Q = 58°

  ∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°

The measure of angle S is 96°.

The perimeter of the shape is

feet.

Answers

Answer:

This doens't realy make sense dude

What shape ??????????,

lines that meet each other at a right angle are called ____​

Answers

Answer: Perpendicular

Explanation:

One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.

Answer:

Perpendicular lines

Step-by-step explanation:

I think that when two lines meet each other in right angle it ie called

help me out please ???!!!​

Answers

The first one lol

..........................

Answer:

√18=√3×3×2=3√2 hope this helps you.

Marty has 6 cans of pain that he can use for the 3 bedrooms he needs to paint. How much paint can Marty use in each bedroom?​

Answers

You need to divide 6 by 3 so you get 2 cans per bedroom

Round 1276 to the nearest ten?

Answers

1280 is your answer

Hope this helps :)

Answer:

1280

Step-by-step explanation:

look at the 6 in the number

is it 4 or less

or is it 5 or more

as the number is 6 ( more than 5)

then you are going to add 1 to the tens

so the final answer is 1280

I really hope this helps and have a great day

PLEASE HELP ASAP mark brainlist

Answers

Answer:

whats the question, tell me it and i'll help you

Step-by-step explanation:

4e-4=e-4



help me plsssssssssssssssssssssss

Answers

Answer:

E= 0 Good luck answering the other questions :)

Step-by-step explanation:

A submarine descends 45 1/2 feet from the ocean surface , climbs 30 feet ,and then descends an additional 18 3/4 feet. What must the submarine do now to reach the ocean surface?
A. Descends 94 1/4 feet
B. Climb 94 1/4 feet
C Descends 34 1/4 feet
D.Climbs 34 1/4 feet

Answers

Answer:

D.Climbs 34 1/4 feet

Step-by-step explanation:

-45.5 + 30 - 18.75 + h = 0

                                h = 34.25

1
A football team has a net yardage of -31 yards on a series of plays. The team needs a net yardage of 30
3
yards to get a first down. How many yards do they have to get on their next play to get a first down?
On their next play the team needs to get
yards to get a first down.

Answers

Answer:

Please select all of the things below that were the main issues the Anti Federalists

had with the US Constitution.

Select 3 correct answer(s)

A-They felt that the states did nothing to protect peoples' rights

B-They felt that the state had too much power

C-Many people felt that the representatives of the convention in Philadelphia had

overstepped its authority and that the articles should have been amended

D-They were concerned in giving the national government more power

E-They felt that the Constitution did nothing to protect the peoples' rights

Please hurry I’m soo stressed!!!!!!!

Step-by-step explanation:

1 Which of these objects are made from magnetic materials?

a copper pipe

b plastic paper clip

c steel nail

d glass bottle

e iron bar

g nickel coins

frubber tyre

Using the table find then relative frequency of each color, to 3 decimal places

Answers

Answer:  The table is shown below.

Explanation:

For each row, divide the color counts over the total. For example, we have 9 red in bag one out of 61 total. This leads to a relative frequency of 9/61 = 0.1475 which rounds to 0.148; so approximately 14.8% of the items in bag one are red. This represents the top left corner of the table.

As another example, we have 5 brown out of 60 total in bag ten. That leads to a relative frequency of 5/60 = 0.0833 = 0.083 (see the bottom right corner of the table).

Take note that for any given row, adding up the relative frequencies will yield the value of 1 (though there might be some slight rounding error along the way).

Write an equation in slope-intercept form for the line with slope 6 and y-intercept -3

Answers

Answer:

y = 6x - 3

Step-by-step explanation:

PLEASE HELP

solve for x?

Answers

The answer is X=128 hope this helps

Guys this is another one. But it’s a different one

Complete the statement to describe how to convert ounces to pound to find the weight in pounds blank the number of ounces by the unit rate ounces per pound

Answers

Answer: you would multiply and the other one is 1536

Step-by-step explanation:

Have nice night

What is 25% of 50?

Need answers :)

Answers

Answer:

12.5

Step-by-step explanation:

Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.

Given 2 angles that measure 50 and 80 and a side that measure 4 feet how many triangles if any can be condctuted

Answers

Answer:

The number of unique triangles that can be constructed from the given values is; Only one triangle

Step-by-step explanation:

We are given the 2 angles of a triangle as;  

∠1 = 50°  

∠2 = 80°  

Now, we know that sum of angles in a triangle is 180°. This means that if the third angle is denoted as ∠3, then we have;  

∠1 + ∠2 + ∠3 = 180°  

Thus;  

∠3 = 180 - (∠1 + ∠2)  

∠3 = 180 - (50 + 80)  

∠3 = 180 - 130  

∠3 = 50°  

Thus; ∠1 = ∠3 = 50°  

A triangle with two equal angles is called an isosceles triangle. Which means that it will also have 2 of its' sides to be equal.  

Thus, in conclusion, only one unique triangle can be drawn.

Solve the system of equations -6x-y=-16 and -6x-5y=-8 by combining equations

Answers

Answer:

[tex]\left \{ {{y=-2} \atop {x=3}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{-6x - y = -16} \atop {-6x - 5y = -8}} \right. <=> \left \{ {{4y= -8} \atop {-6x-5y =-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5y=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5*(-2)=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x=-18}} \right. <=> \left \{ {{y=-2} \atop {x=3}} \right.[/tex]

is a half of a teaspoon more than a fourth of a teaspoon ​

Answers

Answer:

Half of a teaspoon is more than a fourth of a teaspoon

Step-by-step explanation:

1/2 is greater than 1/4

yes!
1/2 > 1/4
1/2 can be written as 2/4
2/4 is still more than 1/4, just changed it so both can have same denominators

as the schools sign language interpreter kiran gets paid 35.50 for every parent-teacher conference that he attends. He also gets paid $42 per schhol-related assembly that he attends as an interpreter. If kiran earns $991 for 27 paid events how many parent teacher conferences and how many school related assemblies did he attend write a system of equations describe each variable and solve

Answers

Answer:

x= 22 (number of parent teacher conferences) y=5 (number of school related assemblies)

Step-by-step explanation:

This word problem creates the following system of equations for x = number of parent-teacher conferences and y = number of school related assemblies.

x+y = 27 means that the number of parent teacher conferences plus the number of school related assemblies equals a total of 27 paid events.

35.50x + 42y = 991 means that $35.50 multiplied by a certain number of parent teacher conferences, plus $42 multiplied by a certain number of school related assemblies equals his total earnings of $991.

This sets up the following system

x+y=27

35.50x+42y=991

To solve this, we first need to take the first equation and solve for y.

y=27-x

plug in to the second equation and solve for x.

35.50x+42(27-x)=991

35.50x-42x+1134=991

Collect like terms

-6.5x=-143

divide both sides by -6.5 to solve for x.

x=22

Back substitute into other original equation to solve for y.

22+y=27

y=5

The interpreter attended 22 parent-teacher conference and 5 school related assembly

To solve this problem, we would write out two set of linear equations.

The data given on this problem are

parent-teacher conference = $35.50school related assembly = $42The total number of engagements = 27

Let x represent the number of parent-teacher conference

let y represent the number of school related conference

Equations[tex]x+y = 27...equation (i)\\35.50(x)+42y=991...equation(ii)[/tex]

From equation (i)

[tex]x+y = 27\\x = 27-y...equation(iii)\\[/tex]

Put equation(iii) into equation (ii)

[tex]35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5[/tex]

Put y = 5 into equation 1

[tex]x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22[/tex]

From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.

Learn more on linear equations here;

https://brainly.com/question/4074386

LAST ATTEMPT !! MARKING AS BRAINIEST!!

Answers

I can’t see the picture very well

What is the value of x + y when x is the additive identity and y = 5?
O 5
O There is not enough information to determine the value.
O - 5
O 0

Answers

Answer:

-5.

Step-by-step explanation:

5 + -5 = 0, so i's -5.

If the measure of wyz =27 what is the measure of zyx

Answers

Answer:

27

Step-by-step explanation:

compitative property

solve for w: 35=0.35 x w

Answers

Answer:

w=100

Step-by-step explanation:

Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35

Identify the variation as direct, inverse, joint or combined.
V =nr2h
O direct
O inverse
O joint
combined

Answers

Answer:

Sorry po just seen your email and I

Answer:

Sorry po just seen your email and I

Complete the statements describe how to convert feet to yards to find the number of yard like the number of feet by the unit rate blank feet per yard

Answers

Answer:

divide3 ft/yd

Step-by-step explanation:

To find the number of yard, divide the number of feet by the unit rate 3 feet per yard.

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