What is the difference between a system of equations and a system of inequalities?

Answers

Answer 1
The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.
Answer 2

Expressions can be expressed as equations or as inequalities.

The difference is that the variables in a system of equation have one solution each, while in a system of inequalities, the variables have a range of values.

Let the system of equation be:

[tex]\mathbf{ax + by = c}[/tex]

[tex]\mathbf{dx + ey = f}[/tex]

Let the system of inequality be:

[tex]\mathbf{ax + by < c}[/tex]

[tex]\mathbf{dx + ey > f}[/tex]

Both systems can be solved using the same method, such as: graphs, substitution and elimination.

However, the difference is that:

In a system of equation, the variables can have one solution each, while in a system of inequalities, the variables have a range of values.

Read more about system of equations and inequalities at:

https://brainly.com/question/11476486


Related Questions

help me plz its algebra 1

Answers

Answer:

C. x > -7 and x <= 3

Step-by-step explanation:

-3 < x + 4 <= 7

Subtract 4 from the three expressions.

-7 < x <= 3

-7 < x means x > -7.

Then you have x <= 3.

Answer: C. x > -7 and x <= 3

What is 5y-15x-20=0 in y=Mx+b form

Answers

Answer:

y=3x+4

Step-by-step explanation:

First, you want to get the 'y' by itself.

5y=15x+20

Now, you want to divide everything by 5.

y=3x+4

Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left​

Answers

Answer: 3/8
Reasoning: 5.25 – 4.875 = 0.375, transferred back into a fraction would be 3/8

list the integers that satisfy both these inequalities, 2x+9 -12

Answers

Answer:

x < -10.5

Step-by-step explanation:

list the integers that satisfy both these inequalities, 2x+9 <-12

Subtract 9 from  both sides;

2x +9 - 9 < -12-9

2x < -21

x < -21/2

x < -10.5

Hence all the integers are values of x less than 10.5

Wwhich expression uses the associative property to make it easier to evaluate 8(1/2x1/3)?
A.8/3(2x33)
B.(8x1/2)1/3.
C.8(1/3x1/2)
D.(8x1/3)1/2​

Answers

The correct answer would be B. (8×1/2)1/3.

Step-by-step explanation:

8 * [(1/2) * (1/3)]

= [8 * (1/2)] * (1/3)

= 4 * (1/3)

= 4/3.

The answer is B because it is easier to calculate 8 * (1/2), which is dividing 8 by 2 to get 4.

Can somebody help me. Will mark brainliest

Answers

Answer:

the first two reason are given then the last one is cpctc

Joanna is driving 185 miles to visit her family. She drives 68 miles in the morning, stops for lunch, and then drives the rest of the distance. How many miles did she drive after lunch?

Use the variable m to represent the number of miles she drove after lunch.

Which equation represents this situation and its solution?


m + 68 = 185; m = 117

68m = 185; m = 17

m + 185 = 68; m = 117

185m = 68; m = 17

Answers

Answer:

The equation represents this situation and its solution are m + 68 = 185; m = 117 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ Joanna is driving 185 miles to visit her family

∴ The total distance she is driving = 185 miles

∵ She drives 68 miles in the morning

d[tex]_{M}[/tex] = 68 miles

∵ She stops for lunch and then drives the rest of the distance

∵ m represents the number of miles she drove after lunch

d[tex]_{L}[/tex] = m miles

∵ d[tex]_{L}[/tex] + d[tex]_{M}[/tex]  = the total distance she is driving

m + 68 = the total distance she is driving

∵ The total distance she is driving = 185 miles

m + 68 = 185

The equation represents this situation is m + 68 = 185

→ To solve the equation subtract 68 from both sides

∵ 68 - 68 + m = 185 - 68

m = 117 miles

The solution is m = 117

solve for n -4.2n-1.7=2.08

Answers

Answer:

n= -0.9

Step-by-step explanation:

-4.2n-1.7=2.08 ( move the constant to the right)

-4.2n = 2.08 + 1.7( calculate)

n = -0.9

The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.

-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4

Answers

Answer:

answer would be:

The range of the graph is all real number.

AND

The domain and range of the graph are the same.

Step-by-step explanation:

directions "rewrite the standard form equations into slope intercept form" 2x+6y=-24

Answers

Answer:

-2x-24/6

pass the x susbtrating divided it by 6

4. A man bought a clock for $6 000 and sold it to make a profit of 15%. What was his
selling price?​

Answers

Answer:

Step-by-step explanation:

he sold it for 900 dollars

hope it helps

Answer:

900

Step-by-step explanation:

If he got 15% of the profit so you would have to divide 15 divided by 2000 and your answer would be 900

A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 12 ​ft?

Answers

Answer:

24 pi

Step-by-step explanation:

you basically need to work out the circumeference

circumference=pi times diameter

if the radius is 12, the diameter is 24

so it would be 24 pi

pls mark as brainliest!!!<3

x/-3 is less than -10
solve the inequality​

Answers

Answer:

-7 or just 7

Step-by-step explanation:

The graph shows the amount of money Miguel earns after working x hours.



What is the rate of change of the amount earned with respect to hours worked for this function?

hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour
What is the slope of the line?

−3


3

Answers

Answer:

13 dollars

and slope is 3

Step-by-step explanation:

Please help me thanks please

Answers

Answer:

um all you do is multiply 21 as the length by 14 was the width (LxW)  

Step-by-step explanation:

=294 is your answer    I think ...

Is this "N2 + 3H2 → 2NH3" balanced or no?

Answers

Yes, the equation “N2 + 3H2 = 2NH3” is balanced.

By what percent did
the Howard family's
water bill decrease from
June to July? June $110.00, July $50.00

Answers

54.55 percent.
Set a ratio:
50/110 = x/100.
Solved this gives you 45.45, but that’s what’s left over. You need to subtract this from 100% to get 54.55 percent.

can you. pls. solve for X?​

Answers

Answer:

x = 173

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

90+30=120

180-120=60

x+67=60

x=-7

How do you write the fraction 5/8 as a decimal ?

Answers

Answer:

0.625

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

(5) Find the value of the variable. The diagram is not to scale.

Answers

Answer:

x = 19 degrees

Step-by-step explanation:

180 - 114 = 66

180 - 66 = 114

Other triangle angle is 114 degrees

114 + 47 = 161

180 - 161 = 19

x = 19 degrees

A square has an area of 72 square inches. What is the side length?

Answers

Answer:

8.5

Step-by-step explanation:

:)

What number should go in the space?
Multiplying by 1.15 is the same as increasing by _____%.

Answers

Answer:

115%

Because to get a percent from a decimal you multiply by 100 so you move the decimal twice to the right

A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?

Answers

Answer:

Ok me la p3l4swkekbdjwkkagdy2hk

Can SOMONE help ASAP I don’t understand the diameter of a circle plz show me how y’all got the awswer plz!!!! It’s the top one

Answers

The area is 3.14 for number 6

Answer:

Step-by-step explanation:

the top one... which is I am assuming asking for the diameter?

Formula = d=2r  

so 2x4 which is 8

But if you were wanting number 6

the formula is A=πr2

which would be 3.14 x 1^1 = 3.14

you take the diameter and square it and then multiply it by pi

PLEASE HELP ASAP!!

Which is the best approximation for the value of 102?

Answers:

A.) 10
B.) 11
C.) 50
D.) 51

Answers

Answer:

D

Step-by-step explanation:

1. Find the Surface Area
10 km
3 km
8 km
6 km
It’s a 3D object

Answers

Answer:

120 km²

Step-by-step explanation:

make it braintliest please

What are the missing numbers in the sequence?

Answers

-37
And 0 at the end

Answer:

-37, -30, -23, -16, -9, -2

Step-by-step explanation:

The rule is subtracting -7 each time

Hope I was able to help! :)

5
Select the correct answer
Which system of equations is represented by this graph?

Answers

Y=2-3x
Y=-4 -2/5x
I think

Arrange the 9 digits in three arithmetic sums. Using three of the four operations of addition, subtraction, multiplication, or division. Use no signs except the signs using those operations. Here is an example

You must use digits 1 - 9 and only ONCE

3 + 4 = 7

9 - 8 = 1

30 / 6 = 5

The above example is not correct, because it does not contain 2, and three is repeated.

Answers

Answer:

i. 5 + 4 = 9

ii. 2 x 3 = 6

iii. 8 - 7 = 1

Step-by-step explanation:

Given: The basic arithmetic operations: addition, subtraction, multiplication or division.

           Digits from 1 - 9

Using three arithmetic operations - addition, subtraction, multiplication, and the given digits, the following three expressions can be formed:

i. 5 + 4 = 9

ii. 2 x 3 = 6

iii. 8 - 7 = 1

It can be observed that there is no repetition of digits in the above expressions as required.

What is the decimal multiplier to decrease by 0.6%?

Answers

Step-by-step explanation:

0.6/100= 0.006 should be multiplied to decrease by 0.6%

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