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
Lana71 [14]
3 years ago
12

Solve for a: 5(a+5)-3=3(2-a)

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

Artyom0805 [142]3 years ago
6 0

first you do distributive property which includes

5a+25-3=6-3a

then combine like terms which is subtracting 3 from 25

5a+22=6-3a, then combine like terms by subtracting 3a from 3a and 5a

which would be 2a+22=6 then combine constants by subtracting 22 from 22 and 6 which would equal 2a =-22 answer is -11

You might be interested in
What is 2x+y=1 in slop intercept form?
Mekhanik [1.2K]

Answer: y = − 2 x + 1

This is because slope intercept from is "Y= mx+b" :)

5 0
3 years ago
Read 2 more answers
I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as
ASHA 777 [7]

Answer:

The fraction is =  \frac{21}{9}

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as 2\frac{1}{3}.

The fraction form of the mixed number can be given as :

2\frac{1}{3}=\frac{7}{3}

Let the fraction be = \frac{7x}{3x} [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

7x+3x=30

Solving for x.

10x=30

Dividing both sides by 10.

\frac{10x}{10}=\frac{30}{10}

x=3

So, the fraction will be = \frac{7\times 3}{3\times 3}

⇒ \frac{21}{9}

3 0
3 years ago
If I have (7x+3) degrees and (8x+1) degrees what would that equal
Sidana [21]

Answer:

180

Step-by-step explanation:

i just did it got it right

8 0
3 years ago
Solve the equation 3 x+5 y=16 for y
Liono4ka [1.6K]

Answer:

Y = (16 - 3x)/5

Step-by-step explanation:

3x + 5y = 16

subtract 3x from both sides:

16-3x = 5y

divide both sides by 5:

(16 - 3x) / 5 = y

hope this helps

8 0
3 years ago
On a number line, point A has a coordinate of -6, and point B has a coordinate of 2. Which is the coordinate of point M, the mid
damaskus [11]
In my opinion
The answer is B
5 0
2 years ago
Other questions:
  • Select all the statements that describe the following set of numbers.
    8·2 answers
  • What's the ratio of 600 m to 3 km
    8·2 answers
  • Answer plz<br> it’s impirtanttttt
    5·2 answers
  • Find the value of x.​
    7·2 answers
  • How much money for 12 cups? How much money for 183 cups? How much money for c cups? With $0.50 per cup.
    8·1 answer
  • I AM WILLING TO PAY IF YOU HELP ME WITH MY ASSIGNMENT! Pls dm me if you know how to do this and have paypal
    11·2 answers
  • PLS PLS PLS HELP I WILL GIVE BRAINLIEST!!!!
    10·2 answers
  • Need help finding the slope of 5/2​
    13·1 answer
  • Write an equation to find x by substituting.
    5·1 answer
  • The dotplot below displays the number of math classes taken by a random sample of students at a high school.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!