All categories

3 years ago

19 – 5x = 9(1+x) solve

Mathematics

2 answers:

Maurinko [17]3 years ago

7 0

$\Large\boxed{\tt Answer:~x=\frac{5}{7} }$

$\tt Step-by-step~explanation:$

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

5/7 = x

viva [34]3 years ago

7 0

<h3>Given Equation:</h3>

$\boxed{ \sf19 - 5x = 9(1+x)}$

<h3>Step-by-step explanation:</h3>

⇢ 19 - 5x = 9(1+x)

⇢ 19 - 5x = 9 × 1 + 9(x)

⇢ 19 - 5x = 9 × 1 + 9x

⇢ 19 - 5x = 9 + 9x

⇢ 19 = 9 + 9x +5x

⇢ 19 = 9 + 14 x

⇢ 19 - 9 = 14x

⇢ 10 = 14x

⇢ 14x = 10

⇢ x = $\sf\frac{10}{14}$

⇢ x = $\sf\frac{2\times 5}{2\times 7}$

⇢ x = $\sf\frac{\cancel2\times 5}{\cancel2\times 7}$

⇢ x = $\sf\frac{1\times 5}{1\times 7}$

⇢ x = $\sf\frac{5}{7}$

⇢ x = 0.71 (approx)

Now Let's verify value of x

↬ 19 - 5x = 9(1+x)

put value of x in this equation

↬ 19 - 5 × 0.71 = 9(1+0.71)

↬ 19 - 5 ×0.71 = 9 ×1 + 9 × 0.71

↬ 19 - 5 × 0.71 = 9 + 9 × 0.71

↬ 19 - 5 × 0.71 = 9 + 6

↬ 19 - 3 = 9 + 6

↬ 19 - 3 = 15 + 6

↬ 15 = 15

LHS = RHS

HENCE VERIFIED!

You might be interested in

A pair of shorts are £15 in a 40%. What was the non-sale price

lana66690 [7]

Answer:

£10.71

Step-by-step explanation:

Given the original price including discount od shorts = £15

Percent discount = 40%

Original price = x

Using the expression to calculate x

x + (40%of x) = 15

x +0.4x = 15

1.4x = 15

x = 15/1.4

x = £10.71

Hence the non sale price is £10.71

4 0

3 years ago

A house on the market was valued at $245,000. After several years, the value increased by 9%. By how much did the house's value

aniked [119]

We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:

$245000\times\frac{9}{100}=22050$

Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:

$245000+22050=267050$

Therefore, the current value of the house is $267050.

6 0

1 year ago

(look at image) can i get help with these two?

serg [7]

Answer:

1. x = 2, AC = 30, AB - 4

2. y = 4, AB = 34, BC = 34

Step-by-step explanation:

1. AB + BC = AC so 26 + (10 - 3x) = 14x +2 and then add 3x to both sides and subtract 2 from both sides to get x on one side and an integer on the other side which is 34 = 17x and then divide 17 from both sides to get x = 2 and then substitute x into the AC and AB equations to find the values its equal to.

2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.

6 0

3 years ago

Translate the figure 5 units up. Then decide if each statement about translated figures is true or false,

m_a_m_a [10]

Answer:

First, second, and third are true.

Fourth is false.

Step-by-step explanation:

1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.

2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.

5 0

3 years ago

Solve the equation 4sqrt(3m ^ 2 - 15) = 4

Deffense [45]

Answer:

See the image below:)

Step-by-step explanation:

I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.

5 0

3 years ago