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defon
4 years ago
5

PLZ PLZ HALP

Mathematics
1 answer:
Kipish [7]4 years ago
8 0
A) 3.
B) 1.
C) 6.
D) 2.
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How many solutions does the following system have?<br><br> y=2x-12<br> y=3x+12
In-s [12.5K]

The system has one solution

Step-by-step explanation:

Let us revise the type of the solutions of a system of equations

  1. One solution if the coefficients of x or/and y are different in the simplest form of the two equations
  2. Infinite many solutions if the coefficients of x , y and the numerical terms are equal in the simplest form of the two equations
  3. No solution if the coefficients of x and y are equal and the numerical terms are different in the simplest form of the two equations

The system of equations is:

y = 2x - 12 ⇒ (1)

y = 3x + 12 ⇒ (2)

∵ The equations are in its simplest form

∵ The coefficients of x in the two equations are different

- That is the 1st case above

∴ The system has one solution

Let us prove that by solving the system

To solve the system of equations equate (1) and (2) to find x

∵ 3x + 12 = 2x - 12

- Subtract 2x from both sides

∴ x + 12 = -12

- Subtract -12 from both sides

∴ x = -24

- Substitute the value of x in equation (1) or (2) to find y

∵ y = 3(-24) + 12

∴ y = -72 + 12

∴ y = -60

∴ The solution of the system is (-24 , -60)

The system has one solution

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

7 0
3 years ago
The graph of y=f(x) is shown below. Find the value of f (0)
meriva

Answer:

f(0) = 2

Step-by-step explanation:

Read from the graph the value "y" that the line presents when "x" is zero. That is the f(0) you are looking for.

See attached screen capture with the point highlighted

f(0) according to the image provided is equal to 2.

f(0) = 2

4 0
3 years ago
placing 12 tiles side by side, Pete can make a 12-by-1 rectangle. Name two other rectangles Pete can make with 12 tiles
sweet [91]
6x2
3x4
.............................
6 0
4 years ago
.5*4x=? i dont know the answer to this question... can anyone help me?
Molodets [167]
The Answer is 20x. you cant add the x to any thing so you multiply 5 and 4 and add the x<span />
7 0
4 years ago
10 POINTS!
koban [17]

Answer:

64

Step-by-step explanation:

Its practically just 8 times 8

3 0
3 years ago
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