Mathematics High School

Lesson 14 Introduction
Solutions of Linear Equations
Use What You Know
You've learned how to solve linear equations and how to check your solution. In this
lesson, you'll learn that not every linear equation has just one solution. Take a look
at this problem.
Jason and his friend Amy are arguing. Jason says that a linear equation always has just one
solution. Amy says that some linear equations have more than one solution. Who's right?
Amy asked Jason to explore solutions to the following equation
2x + 1 + x = 3x - 2)+7
Use the math you already know to solve this problem.
Remember that a solution to an equation is a number that makes the equation true.
To check to see if a number is a solution to this equation, replace x with its value.
a. Is 6 a solution to the equation? Show your work
b. Is -2 a solution to the equation? Show your work. 2X
c. Is 0 a solution to the equation? Show your work.

Answers

Answer 1

2(-2) + 1 + (-2) = 3(-2 - 2) + 7

-4 + 1 -2 = 3(-4) + 7

-3 - 2 = -12 + 7

-5 = -5

Yes

Related Questions

A park charges $8 per hour to rent a bike
Choose the equation that models the situation, where c represents the total cost and
h represents the number of hours of bike rental.

Answers

The answer would be c=8h

cost equals 8$ per(times) hour

c=8j

Jess is thinking of a number. Eight less than six times the number is 64. Find the number.

Answers

Answer:

-32

Step-by-step explanation:

the expression would be n ( 8 - 6 ) = 64. first solve whats in the parentheses, which is -2. then multiply n by -2, which is -2n = 64. divide 64 by -2, which is -32. to check, multilpy -2 by -32, which is 64. therefore the number is -32.

Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand

Answers

Answer:

C. 143

Step-by-step explanation:

x = 143° as corresponding angles

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

In the given figure, the Angle x forms Alternate exterior angle pair with 143°, so

value of x° = 143°

(since, Alternate Exterior Angles have equal measures)

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
15, 11, 7, ...

Answers

the sequence is arithmetic since the common difference that is equal
d=11-15=7-11=-4
a(n) = a1 +(n-1)d
a1=15
=
a(n) = 15+(n-1)-4

1) A 60 cm length of wire is used to form a rectangle. The
width of the rectangle is 3 cm longer than the height. Not all
the wire is used.
Find the range of values for the shortest side.

Answers

Answer:

Step-by-step explanation:

here's a somewhat answer, and how to solve it

lets assume that all "60 cm wire is used to make a rectangle"

h = a

w = a + 3

the perimeter of the rectangle is

a + a + a + 3 + a + 3 = 60

4a = 54

a = 13.5

-------------------------------

height = 13.5

width = 16.5

BUT, the problem says "not all the wired is used"

how much? 59? 58? 57.... the lowest value for the shortes side is 1

h = 1

w = 1 + 3 = 4

perimeter : 1 +4 + 4 + 1 = 6cm

if this is not good enough. please make a comment below to delete my answer

Please help!!!!! Show work!

Answers

Answer:

0=12

Step-by-step explanation:

38/19 = n-5/20

I need this VERY QUICKLY, first one to give me an answer gets brainly!

Answers

Answer:

Step-by-step explanation:

not sure about the explanation

Which one is bigger, -3.142 or -0.5?

Answers

Answer: -0.5

This number is closer to zero

Why would lines segments, rays, or planes not exist if points do not exist

Answers

Points act as a reference for line segments, rays and planes. In order for one of these geometric features to exist, some form of location would have to be given. Points act as reference so that these features can be plotted.

change 7/8 into a decimal.

Answers

Answer:

0.875

Step-by-step explanation:

you have to multiply it

Answer:

7/8=0.875

Step-by-step explanation:

We know that 7/8 is the same as 7÷8 Then using Long Division for 7 divided by 8 and rounding to a Max of 3 Decimal Places gives us 7/8=0.875

Solve " 1/2 (2 + 12) = 2z + 3 " 3 different ways

URGENT! WILL HEART AND GIVE BRANLIEST!

Answers

Yeah yeah I just said I don’t know how long it is going but I’m going to do a lot of stuff like this one too lol I’m equally like that I’m just so mad I just want to be mad because it’s not gonna be a joke I’m sorry but I can’t wait to get back to

the length of a rectangle is four times it’s width if the perimeter of the rectangle is 70 yd find it length and width

Answers

Answer:

Step-by-step explanation:

Length = 4 * width

L = 4 * w

70 = Perimeter = 2*Length + 2* width = 2(4w) + 2w = 8w + 2w = 10w

so w=7 --> length is 28. Note that perimeter is 28+28+7+7 = 56 + 14 = 70

Then the area is 28 x 7 = 196 square inches

What is the value of 2x(3+x2) when x=−2?

Answers

Answer:

Step-by-step explanation:

hope this helps :)

What term is -4x in the equation x2-4x+4
= 0

Answers

Answer: it is the second.

Step-by-step explanation:

X2 is 1 term. -4x is another and +4 is another.

So, -4x is the second term.

Sheila walks 3 miles in of an hour. How fast does she walk per hour?

Answers

Answer:

Shiela walks 3 miles per hour

Step-by-step explanation:

if you reread the question it easily gives it away

please please please help me

Answers

Answer:

Step-by-step explanation: Volume is the amount of space something takes up, just add up the numbers once you found them.

1) Danielle completely covered a square window using 18.4 ft of contact paper without any
overlap. Which measurement is closest to the side length of this window in feet?
A 5 ft
B 4 ft
C 9 ft
D 3 ft

Answers

the answer should be b. because 4(4) = 16 and that’s closer to 18.4 than the others.

Anyone know this please?!

Answers

I think scalene. Line MN is 6, MP is 9.2, and PN is 8.1. All side lengths are different.

please help!!! thank you!

Answers

Answer: -13x - 2

Step-by-step explanation:

-6x + -7x = -13x

3+-5 = -2

-13x - 2

-Gage Millar, Algebra 2

please help it would be greatly appreciated:)

Answers

Sorry I haven’t learned that yet

please solve and explain !!!

Answers

Answer:

107

Step-by-step explanation:

Angle 1

When a line is passes through a straight line, the two angles must equal 180 degrees. Since you know the one angle is 81, then angle 1 is 180 - 81 or

99 degrees.

Angle 2

You can determine the angle that is opposite of the 91 angle. These two angles must add up to 180. So the angle to the right of 91 must be 89.

89 + 91 = 180

You were told lines c and d are parallel. Based on that, the angle you just calculated must be equal to angle 2 or 89 degrees.

Angle 3

Again, you know that lines c and d are parallel. When a line crosses over two parallel lines, the outer opposite angles would be equal to each other.

So angle 3 is equal to the angle marked as 81 degrees.

Angle 1 + Angle 2 - Angle 3 = 107

Answer this please!!!!!
He/she will get brainlist

Answers

Answer:

1)26

2)5

3)14

4)7

5)5

6)3

7)8

8)-9

9)34

10)-65

Step-by-step explanation:

please mark me as brainlest

What is the sum of the third and
ninth square numbers?

Answers

9×9=81
3×3×3=27
27+81=108
108 is the answer

Step-by-step explanation:

the third square number is 16 and the ninth is 100 (100+16)

D
الا
3x+3
4x+2
Determine the value of mZDCB.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given Angles (4x + 2) and (3x + 3) are forming linear pair, so

[tex]4x + 2 + 3x + 3 = 180[/tex]

[tex]7x + 5 = 180[/tex]

[tex]7x = 180 - 5[/tex]

[tex]7x = 175[/tex]

[tex]x = \dfrac{175}{7} [/tex]

[tex]x = 25[/tex]

now, let's find Angle DCB :

[tex]3x + 3[/tex]

[tex](3 \times 25) + 3[/tex]

[tex]75 + 3[/tex]

[tex]78 \degree[/tex]

a hair salon used 21 ounces from a bottle of shampoo. 30% of the bottle remains. how many ounces were in the original bottle

Answers

Answer:

Step-by-step explanation:

I’m pretty sure at least if not sorrrryyy

Find the distance between the two points rounding to the nearest tenth (if necessary)

(3,6) and (1,9)

Answers

Answer:

3.6

Step-by-step explanation:

What is the distance between coordinates (5,0),(04)

Answers

(0-5)^2 + (4-0)^2 = -5^2 + 4^2 = 25+16= 41
Radical of 41

Given f (x) = 2x^3 - 9x + k and x - 1 is a factor of f (x), then what is the value of k?

Answers

Something complicated I’m sure

1x2(I572535x789)+345678x89/56

Answers

I searched it up, and this is what it showed, hope it helps

This question as the simplest form guys pls helppppp

Answers

Answer:

[tex]\frac{27}{2}[/tex]

Step-by-step explanation:

Okay, first whenever you divide a fraction, you're going to want to multiply by the reciprocal. The reciprocal or the inverse in this case is [tex]\frac{3}{2}[/tex].

Multiply 9 with the integer. Also, remember that numbers that aren't fractions like 9 can be written as a fraction with a 1 in the denominator. 9 = [tex]\frac{9}{1}[/tex]. So,

[tex]\frac{9}{1}[/tex] × [tex]\frac{3} {2}[/tex]. Multiply across. The numerators together (9 with 3) and the denominators together (2 with 1).

9 × 3 = 27 and 1 × 2 = 2. As a fraction the answer will come out to be [tex]\frac{27}{2}[/tex].

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