Ask question

Ask question

All categories

2 years ago

13

What is the reason for each step in the solution of the equation?

2 answers:

MA_775_DIABLO [31]2 years ago

6 0

<span>2x-1=4(x+1) Given. This is the expression you were originally given. 2x-1=4x+4 Distributive Property You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4 2x=4x+5 Addition or Subtraction Property of Equality You added 1 to both sides of the equation. â’2x=5 Addition or Subtraction Property of Equality You subtracted 4x from both sides of the equation. x=-5/2 Multiplication or Division Property of Equality You divided both sides by -2.</span>

Mkey [24]2 years ago

4 0

Answer:

2x - 1 = 4(x + 1) Given

2x - 1 = 4x + 4 Distributive Property

2x = 4x + 5 Addition or Subtraction Property of Equality

-2x = 5 Addition or Subtraction Property of Equality

x = -5/2 Multiplication or Division Property of Equality

- I took the test, these should be right.

You might be interested in

Polygons consist of line segments connected only at their endpoints. Many types of polygons exist, with varying side and angle m

aleksley [76]

Answer:

its asking for your opinion

8 0

2 years ago

NARA [144]

Answer:

The rearrangement can be 45, 987 , 310

Step-by-step explanation:

Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently

The value of 9 presently is 90,000

So 10 times as worth will be 10 * 90,000 = 900,000

So we can have the new arrangement as;

45, 987, 310

3 0

2 years ago

Solve for r:<br>8x+36<br>5x + 60°

Ksju [112]

Answer:

Step-by-step explanation:763

8 0

2 years ago

20 POINTS HELPPPPP

kiruha [24]

For this case we have the following expression:

$\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216$

We multiply both sides by: $(\frac {1} {36}) ^ {3n}$

$216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}$

We divide both sides by 216:

$\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}$

To divide powers of the same base, we place the same base and subtract the exponents:

$216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}$

Rewriting:

$(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1$

To multiply powers of the same base, we place the same base and add the exponents:

$6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1$

We know that any number raised to zero is 1, $a ^ 0 = 1.$

So, for equality to be true:

$9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1$

Answer:

$n = 1$

3 0

2 years ago

Read 2 more answers

The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. What are the two numbers?

loris [4]

Answer:

<em>7, 22</em>

Step-by-step explanation:

Let S = the smaller number.

"The larger number is 1 more than 3 times the smaller number."

The larger number is 3S + 1.

The difference between the numbers is 15, so the larger number minus the smaller number equals 15.

3S + 1 - S = 15

2S + 1 = 15

2S = 14

S = 7

The smaller number is 7.

larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22

The larger number is 22.

5 0

3 years ago