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iren [92.7K]
3 years ago
7

Instructions: Drag each tile to the correct location on the algebraic problem. Not all tiles will be used.

Mathematics
2 answers:
jolli1 [7]3 years ago
6 0
The steps involving properties of equality are shown in painful detail.

For Step 4, you add 7 to both sides of the equation (with the goal of cancelling the -7 on the left). So you have
  6x -7 +7 = 12 +7 . . . . . . . showing 7 added to both sides

In the next step, this is simplified to the way you might have written it to start with:
  6x = 19

There should be no confusion in any of this. All solutions of all equations make use of the properties of equality like this. Addition is used to cancel subtraction, division is used to cancel multiplication. (Root-taking cancels powers, and vice-versa; inverse trig functions cancel trig functions; and so on.)

likoan [24]3 years ago
5 0
4x - 7 = -2x + 12                         //GIven

4x - 7 + 2x = -2x + 12 + 2x         //Addition property of equality

6x - 7 = 12                                //Simplification

6x - 7 + 7 = 12 + 7                    //Addition property of equality

6x = 19                                     //Simplification

6x/6 = 19/6                               //Division property of equality

x =  19/6                                  //Simplification 
You might be interested in
Solve the system of equations. y= x + 17, y= 3x+1
Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0
3 years ago
Suppose that in 6 minutes, 36 gallons of water came out the pipe. what was the rate in
Tom [10]

Answer:

6 gallons in one minute :)

Step-by-step explanation:

3 0
3 years ago
2.2594 to the nearest tenth
likoan [24]
2.3 i think let me know if it works
5 0
3 years ago
Read 2 more answers
What is 7a +6c+9a-15c
jeka94

                               7a + 6c + 9a - 15c

-- Look for all the 'a's      7a,  9a

-- Addum up                    16a

-- Look for all the 'c's      6c,  -15c

-- Addum up                     -9c

-- Write the results         16a - 9c
3 0
3 years ago
Read 2 more answers
Solve each radical equation. Be sure to check your solutionsa)√(x+5)-9=-12b)√(4x-7)=√(3x+9)
Arlecino [84]

Answer:

a) There is no solution to the equation.

b) Solution: x = 16

Step-by-step explanation:

Hi there!

a) Let´s write the equation:

√(x + 5) - 9 = -12

add 9 to both sides of the equation

√(x + 5) = -12 + 9

√(x + 5) = -3

Square both sides of the equation

x + 5 = 9

Subtract 5 to both sides

x = 9 - 5

x = 4

Let´s check the solution:

√(x + 5) - 9 = -12

√(4 + 5) - 9 = -12

√9 - 9 = -12

3 - 9 = -12

-6 ≠ -12

Then x = 4 is not a solution to the equation.

b) Let´s write the equation:

√(4x - 7) = √(3x + 9)

square both sides of the equation  

4x - 7 = 3x + 9

subtract 3x and add 7 to both sides of the equation

4x - 3x = 9 + 7

x = 16

Let´s check the solution:

√(4x - 7) = √(3x + 9)

x = 16

√(4(16) - 7) = √(3(16) + 9)

√57 = √57

Then x = 16 is the solution to the equation

5 0
3 years ago
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