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
OLga [1]
1 year ago
6

Can someone help me with one pleaseT (ToT)

Mathematics
2 answers:
liberstina [14]1 year ago
6 0

Step-by-step explanation:

can't you see it ?

the goal is always to get the variable on one side, and everything else on the other side.

1. step : add 1 to both sides to get rid of the free constant "-1" on the side of the variable.

2. step : multiply both sides by -2 to get rid of the "-1/2" factor that binds 5x and -8 into one term.

3. step : add 8 to both sides to get rid of the now free constant "-8" on the side of the variable.

4. step : divide both sides by 5 to finally have only the variable on the left side giving us the solution of the equation.

remember, we always have to do every change on both sides of the equation to keep the original balance and information of the equation.

uysha [10]1 year ago
5 0

Answer:

Add 1 to both sides.

Multiply both sides by -2.

Add 8 to both sides.

Divide both sides by 5.

Step-by-step explanation:

<u>Step 1</u>

-\dfrac{1}{2}(5x-8)-1=6\quad \quad \textsf{Write the equation.}

<u>Step 2</u>

-\dfrac{1}{2}(5x-8)=7 \quad \quad \textsf{Add 1 to both sides.}

This is called the <u>Addition Property of Equality</u>.  When the same number is added to both sides of an equation, the two sides remain equal.

\implies -\dfrac{1}{2}(5x-8)-1+1=6+1

\implies -\dfrac{1}{2}(5x-8)=7

<u>Step 3</u>

5x-8=-14 \quad \quad \textsf{Multiply both sides by -2.}

This is called the <u>Multiplication Property of Equality</u>.  When both sides of an equation are multiplied by the same number, the two sides remain equal.

\implies -2 \cdot -\dfrac{1}{2}(5x-8)=-2 \cdot 7

\implies 5x-8=-14

<u>Step 4</u>

5x=-6 \quad \quad \textsf{Add 8 to both sides.}

This is called the <u>Addition Property of Equality</u>.  When the same number is added to both sides of an equation, the two sides remain equal.

\implies 5x-8+8=-14+8

\implies 5x=-6

<u>Step 5</u>

x=-\dfrac{6}{5} \quad \quad \textsf{Divide both sides by 5.}

This is called the <u>Division Property of Equality</u>.  When both sides of an equation are divided by the same number, the two sides remain equal.

\implies \dfrac{5x}{5}=\dfrac{-6}{5}

\implies x=\dfrac{-6}{5}

<u>Conclusion</u>

<u></u>

<u />\begin{aligned}-\dfrac{1}{2}(5x-8)-1 & =6 & \quad \quad& \textsf{Write the equation.}\\\\-\dfrac{1}{2}(5x-8) & =7 & & \boxed{\textsf{Add 1 to both sides.}}\\\\5x-8 & =-14 & & \boxed{\textsf{Multiply both sides by -2.}}\\\\5x & =-6 & & \boxed{\textsf{Add 8 to both sides.}}\\\\x & =-\dfrac{6}{5} & & \boxed{\textsf{Divide both sides by 5.}}\\\end{aligned}

Learn more about Property Laws here:

brainly.com/question/28255621

brainly.com/question/28210762

You might be interested in
How do I answer this?
Agata [3.3K]

Answer:

2k³ is the GCF.

Step-by-step explanation:

GCF of 10k^{3} ,6k^{3}

Finding the factors:

=10k³[Factoring 10k³]

=2×5×k×k×k

=6k³[Factoring 6k³]

=2×3×k×k×k

Common factors in 10k³ and 6k³.

=2×k³

=2k³

8 0
2 years ago
Read 2 more answers
Factor out the greatest common factor. <br>2f^3-8f^2​
ella [17]

Answer:

Step-by-step explanation:

8f² = 2³f²

GCF of 2f³ and 8f² = 2f²

2f³ - 8f² = 2f²(f - 4f)

8 0
3 years ago
Write the Equation of a line that passes trough the pair <br> (3,2)&amp;(0,-4)
Oksana_A [137]
Start by finding the slope of the line by doing m(slope)=y2-y1 over x2-x1 using the pairs and then plug in the y and x of one of the points into the equation y=mx+b (y in the y and x in the x spot) and solve for b. Then plug the slope (can be a fraction shouldn’t be decimal) and y-intercept (b) back in the equation of a line above and you have your answer!
8 0
3 years ago
Gram
Andrej [43]
I do not know the answer to this question
5 0
2 years ago
a yogurt shop offers 7 different flavors of frozen yogurt and 10 different toppings how many choices are possible for a single s
Hitman42 [59]
77 toppins are possible to be served
3 0
2 years ago
Other questions:
  • The temperature was -11. By noon, it increased by 12. What was the temperature at noon?
    13·2 answers
  • For every six hot dogs that are shipped to a store, two hamburgers are shipped. Yesterday, 12 hamburgers were added making the a
    6·1 answer
  • You added 3 3/4 cups of flour, 1 1/4 cups of oil, and 2 2/4 cups of water to a bowl for a recipe. How many cups did you combine
    8·1 answer
  • Viola and Paige stand next to each other and kick soccer balls in the air. The
    8·2 answers
  • Find 85 percent of 920
    9·2 answers
  • Can someone plzz help me
    14·1 answer
  • The football team has a total of 20 jerseys. There are 4 medium-sized jerseys. What percent of the jerseys are medium-sized jers
    7·2 answers
  • Consider a population p of field mice that grows at a rate proportional to the current population, so that dp dt = rp. (Note: Re
    14·1 answer
  • I NEED HELP!!
    12·2 answers
  • All you need is in the photo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!