MATHEMATICS HIGH SCHOOL

Explain why the equation 2(3x - 5) = 6x + 8 has no solutions.

Answers

Answer 1
Answer:

Answer:

Look at step-by-step solution

Step-by-step explanation:

2(3x-5)=6x+8

First start by dividing two from the left side:

3x-5=3x+4

From there add five and subtracted 3x from both sides:

0=9

Since zero does not equal nine, there is no solution.
Answer 2
Answer:

Answer:

- 5 does not equal 8

Step-by-step explanation:

Distribute the 2 to get 6x - 5 = 6x +8

6x - 5 = 6x + 8

subtract 6x on both sides you are left with -5 = 8 which is not a true statment.

Since the equation leads to a statment that isn't true, there is no solution.

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The Jurassic zoo charges $12 for each adult admission and $7 for each child. The total bill for 129 people was $1088. How many adults and how many children?

Answers

there were 155 kids at the zoo & 90 adults 1088÷7=155 1088÷12=90

Solve for x: 4 − (x + 2) < −3(x + 4)

Answers

4 - (x+2) < -3(x+4)

4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
   +3x        +3x      
2 + 2x    <   -12
-2                   -2    
      2x     < -14
     ÷2          ÷2    
        x      < -7

assume that x = -8

4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12  the inequality is true.

The length of a rectangle it twice it's within. If the perimeter of the rectangle is 30 cm, find its area.

Answers

w - width

2w - length (l)

30 cm - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 30    divide both sides by 6

w = 5 cm

2w = 2(5) = 10

l = 10 cm

The area of a rectangle: A = lw.

Substitute:

A = (5)(10) = 50

Answer: The area is 50cm²

X+2y=14
x-3y=-11
substitution

Answers

To solve this system of equations using substitution, we can solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for x:

x = 14 - 2y

Now, substitute this expression for x in the second equation:

(14 - 2y) - 3y = -11

Simplify the equation:

14 - 2y - 3y = -11

Combine like terms:

14 - 5y = -11

Now, solve for y:

-5y = -11 - 14

-5y = -25

y = -25 / -5

y = 5

Now, substitute the value of y back into the first equation to solve for x:

x + 2(5) = 14

x + 10 = 14

x = 14 - 10

x = 4

So, the solution to the system of equations is x = 4 and y = 5.
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Is the number ���12/4 rational

Answers

Yes because 

12/4 is 3

How do you do #1-

3x + y = 17
4x + y = 18

find for x and y

Answers

1st multiply the top equation by -1 to get -3x - y = -17 then add the 2 equations together to get:

4x + y - 3x - y = 18 - 17
x = 1 (simplified down)

Now plug the 1 into either equation
4(1) + y = 18
4 + y = 18
y = 18 - 4 = 14

Your point is (1, 14)
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