All categories

3 years ago

Solve the following for the variable x. 3x - 16 = 38

Mathematics

2 answers:

Charra [1.4K]3 years ago

5 0

Step-by-step explanation:

$\tt{3x - 16 = 38}$

We want to remove the 16 first. So , Since the original equation is - 16 , we are going to use the oppsite operation and add 16 to both sides.

⟶ $\tt{3x - 16 + 16 = 38 + 16}$

Simplify ! - 16 + 16 = 0 on the left. 38 + 16 = 54 on the right.

⟶ $\tt{3x = 54}$

Now , we need to think how to remove the coefficient 3. Since the opposite of multiplication is division , we are going to divide both sides by 3.

⟶ $\tt{ \frac{3x}{3} = \frac{54}{3}}$

Simplify ! 3 / 3 = 1 on the left and 54/3 = 18 on the right . So, our answer is 18.

$\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = 18}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

shusha [124]3 years ago

3 0

Answer: x= 18

Step-by-step explanation:

3x - 16 = 38

38 + 16 = 54

3x/3 = 54/3

X= 18

You might be interested in

A map is drawn with a scale of 1 inch= 15 miles. Nichol measured the distance to the next town as 3 inches. How many miles does

Nikolay [14]

Answer:

45 miles

Step-by-step explanation:

if 1 in = 15 mi so put x=15

3 is 3 times 1 so x=3 and 3*15=45

Your answer is 45 miles.

7 0

3 years ago

Help me with this answer I know there is no solution I just wanna know why

mylen [45]

Answer:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true

4 0

3 years ago

Read 2 more answers

Be a detective and solve this case: There are 53 bicycles in a room, and a man is dead on the floor next to them. Why was the ma

mina [271]

<span>The 53 bicycles are the bicycle brand of playing cards. Since we all know that a deck contains 52 cards, he must have been cheating and he put another card in the deck. His buddy caught him and killed him</span>

3 0

3 years ago

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)?

liubo4ka [24]

The quotient of $x^{3}+3x^{2} -4x-12$ divided by $x^{2} +5x+6$ is (x-2_.

Given the polynomial $x^{3}+3x^{2} -4x-12$ and $x^{2} +5x+6$ and the first expression or polynomial is divided by second.

Quotient is a number that is obtained by dividing two numbers. It can be of two numbers or two expressions. Remainder is a number or an expression left after division of two numbers.

To find the quotient of $x^{3}+3x^{2} -4x-12$ divided by , we have to divide the expression first.

We know that ,

Divident=Divisor*Quotient+remainder

$x^{3}+3x^{2} -4x-12$ = $x^{2} +5x-6$ *(x-2)-12

If we carefully watch the above equation and compares with the above formula then we can easily find that the value of quotient is (x-2).

Hence the quotient of $x^{3}+3x^{2} -4x-12$ divided by $x^{2} +5x-6$ is (x-2).

Learnmore about quotient at brainly.com/question/673545

#SPJ4

Question is incomplete as the given expressions are incomplete as they should be like this:

$x^{3}+3x^{2} -4x-12$ and $x^{2} +5x-6$ .

4 0

2 years ago

Determine the value of c so that f(x) is continuous on the entire real line when

mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0

3 years ago