1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lena [83]
3 years ago
6

How many solutions does this system have?

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer: One

Step-by-step explanation: Recall that intersecting lines have one solution and therefore the system is consistent. Because the lines are not the same, the equations are independent.

You might be interested in
A family of four is trying to determine what they want to do for their summer vacation and came up with three options. They have
Nikolay [14]
Option 1 =$497.5 option 2 =$494.5 option 3 =$50.5
8 0
3 years ago
Match each equation with its solution set.
taurus [48]

Answer:

1- The solution of I2x + 5I = 9 is {-7 , 2}

2- The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- The solution of I5 - xI = 6 is {-1 , 11}

4- The solution of I6x - 8I + 7 = 5 is ∅

5- The solution of Ix + 3I = 12 is {-15 , 9}

6- The solution of Ix - 3I = -12 is ∅

Step-by-step explanation:

* At first lets explain the meaning of IxI = a

- If IxI = a ⇒ then x = a or x = -a

- IxI never give a negative answer, because IxI means the

 magnitude of x is always positive

Ex: I-2I is 2

* Now lets find the solution of each equation

1- ∵ I2x + 5I = 9

∴ 2x + 5 = 9 ⇒ subtract 5 from both sides

∴ 2x = 4 ⇒ divide both sides by 2

∴ x = 2

OR

∴ 2x + 5 = -9 ⇒ subtract 5 from both sides

∴ 2x = -14 ⇒ divide both sides by 2

∴ x = -7

* The solution of I2x + 5I = 9 is {-7 , 2}

2- ∵ I2x + 7I + 2 = 11 ⇒ Subtract 2 from both sides

∴ I2x + 7I = 9

∴ 2x + 7 = 9 ⇒ subtract 7 from both sides

∴ 2x = 2 ⇒ divide both sides by 2

∴ x = 1

OR

∴ 2x + 7 = -9 ⇒ subtract 7 from both sides

∴ 2x = -16 ⇒ divide both sides by 2

∴ x = -8

* The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- ∵ I5 - xI = 6

∴ 5 -x = 6 ⇒ subtract 5 from both sides

∴ -x = 1 ⇒ divide both sides by -1

∴ x = -1

OR

∴ 5 -x = -6 ⇒ subtract 5 from both sides

∴ -x = -11 ⇒ divide both sides by -1

∴ x = 11

* The solution of I5 - xI = 6 is {-1 , 11}

4- ∵ I6x - 8I + 7 = 5 ⇒ Subtract 7 from both sides

∴ I6x - 8I = -2

- I  I never give negative answer

* The solution of I6x - 8I + 7 = 5 is ∅

5- ∵ Ix + 3I = 12

∴ x + 3 = 12 ⇒ subtract 3 from both sides

∴ x = 9

OR

∴ x + 3 = -12 ⇒ subtract 3 from both sides

∴ x = -15

* The solution of Ix + 3I = 12 is {-15 , 9}

6- ∵ Ix - 3I = -12

- I  I never give negative answer

* The solution of Ix - 3I = -12 is ∅

4 0
3 years ago
Solve for x: x^2+4x-5=16x
BigorU [14]
Solve for x: x^2+4x-5=16x
first take 16x from both sides of the equation
x²-12x-5=0
now we have a quadratic. we can solve it by using the quadratic formula
x=-b plus or minus the square root of b²-4ac all divided by 2a
where a=1, b=-12 and c=-5
plug these numbers into the formula
x=12 plus or minus the square root of 144-4x1x-5 all divided by 2
<span>x=12 plus or minus the square root of 164 all divided by 2
or in decimal form </span>x = {12.403124237, -0.403124237}
6 0
2 years ago
Read 2 more answers
29/5 divided by nine and a half
trapecia [35]

29/5 is 5.8   5.8 dividen by 9 1/2 is 0.61052631578

Hope this helps! Have a great day!!!

3 0
3 years ago
You count customers going into the 5 pizza shops in your city. You get 56, 98, 43, 112, and 106. What is the median number of cu
tigry1 [53]

Answer:

Median = 98

Step-by-step explanation:

Organize the numbers in order from least to greatest: 43,56,98,106,112.

Than begin crossing the numbers out

56,98,106

98

8 0
3 years ago
Other questions:
  • NEED HELP ASAPPP!!!! Get brainlist!
    8·1 answer
  • The price of gasoline increased by 0.16 times the price of 1 year ago. If the price 1 year ago was $3 how much was the increase?
    6·1 answer
  • Please answer this question
    15·2 answers
  • Simplify the expression:6(x+4)+1
    15·2 answers
  • The volume of water in a tank is 0.7 cubic meter. Write this volume in cubic centimeter​
    12·1 answer
  • The function, f, defined by f(t) = 1,000• (1.07)t, represents the amount of money in a bank account t years after it was opened.
    15·1 answer
  • The dimeter of the outer circle is
    8·1 answer
  • Surface area and volume
    13·1 answer
  • Please help, solve for x
    11·1 answer
  • Here are the dimensions of some rectangles. Which rectangle has an area of 12 square units and a perimeter of 14 units?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!