1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iVinArrow [24]
3 years ago
9

Solve for x 4(2x-1)= 3x-19

Mathematics
2 answers:
Sophie [7]3 years ago
8 0
X=-3
This is the answer
drek231 [11]3 years ago
7 0

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

4 ( 2x - 1 ) = 3x - 19

→ Expand the brackets

8x - 4 = 3x - 19

→ Minus 3x from both sides to isolate -19 and bring all the x coefficients to one side

5x - 4 = -19

→ Add -4 to both sides to isolate 5x

5x = -15

→ Divide both sides by 5 to isolate x and therefore find the value of x

x = -3

→ We can substitute x = -3 back into 4 ( 2x - 1 ) = 3x - 19 to see if we have the correct solution, if we end with the same number on both sides then  x = -3 is correct.

4 ( 2x - 1 ) = 3x - 19

8x - 4 = 3x - 19

( 8 × -3 ) - 4 = ( 3 × -3 ) - 19

-24 - 4 = - 9 - 19

-28 = -28

So x = -3 is correct

You might be interested in
Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

8 0
3 years ago
Sam's toy chest holds 840
dangina [55]

Answer:

7

Step-by-step explanation:

4 0
3 years ago
IF ANYONE HELP ME OUT WITH THESE PROBLEMS ILL GIVE EXTRA POINTS AND BRAINLEST​
Dennis_Churaev [7]

Answer:

it's obtuse. reason being cause to be acute it has to be under 90 and to be right it has to be at 90

5 0
3 years ago
Read 2 more answers
a square with an area of 144 cm² is reduced by a factor of 1/3 how long are the new sides of the square?​
olga55 [171]

Answer:

4  cm

Step-by-step explanation:

The square root of 144 is 12 (12 x 12 = 144) so we know our sides of the square are 12 cm²

12 / 3 = 4

(\frac{12}{1} x \frac{1}{3})

The sides of the new square are 4 :)

Hope this helps and is correct, have a nice day! :D

3 0
2 years ago
What is the mean and median?
timama [110]

Answer:

Step-by-step explanation:

Mean roughly means the average of all the results. Add all of them up and divide it by the number of items there are. Median, basically means, you line them up from low to high numerically and the middle number.

6 0
3 years ago
Read 2 more answers
Other questions:
  • The cost to replace a water pump in a car was $823. This included $383 for the water pump and $88 per hour for labor. How many h
    5·1 answer
  • A single die is rolled. Find the probability of rolling an even number or a number less than 4
    15·2 answers
  • A political action committee is interested in finding out what proportion of voters will
    5·1 answer
  • Two scientists are running experiments testing the effects of a vaccine on different control groups. The results are shown in th
    15·2 answers
  • At a benefit concert, nine bands have volunteered to perform but there is only enough time for seven of the bands to play. How m
    9·1 answer
  • Solve this quadratic equation using the quadratic formula.<br><br> 3x 2 + 5x + 1 = 0
    12·1 answer
  • 40 POINTS!!! PLEASE ANSWER SOON. WILL MARK BRAINLIEST
    13·2 answers
  • - 12 = 2 + 5d + 2d <br> ................
    14·2 answers
  • PLEASE ANWSER THIS QUESTION ASAP!!!
    8·2 answers
  • Subtract.<br> –5 -(-4)= helppppp pleaseeeeee
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!