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
sergejj [24]
3 years ago
5

4a/3-b/4=6 5a/6+b=13 Solve linear system by elimination

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0
\bf \cfrac{4a}{3}-\cfrac{b}{4}=6
\qquad \qquad 
\cfrac{5a}{6}+b=13
\\\\\\
\textit{let us remove the denominators off those folks}\\
\textit{by multiplying the first one by 12, both sides}\\
\textit{and the second one by 6, both sides, thus}
\\\\\\
12\left( \cfrac{4a}{3}-\cfrac{b}{4} \right)=12(6)\implies 16a-4b=72
\\\\\\
6\left( \cfrac{5a}{6}+b \right)=6(13)\implies 5a+6b=78

\bf  \textit{now, let's do the elimination}
\\\\

\begin{array}{llll}
16a-4b=72&\boxed{\times 3}\implies &48a-\underline{12b}=216\\\\
5a+6b=78&\boxed{\times 2}\implies &10a+\underline{12b}=156\\
&&--------\\
&&58a+0\quad=372
\end{array}

solve for "a", once you get "a", plug it back into either equation to get "b"
You might be interested in
PLEASE HELP ME !!!!!!!!!!!!!!!!!!
asambeis [7]
The solution is indeed accurate.
4 0
3 years ago
Read 2 more answers
Write the following fraction as tenths in fraction and decimals.4/10
Veseljchak [2.6K]
If you wanted to write 4/10 as a decimal it would be .4 

3 0
3 years ago
Read 2 more answers
Anyone willing to help out really quick?^^​
klemol [59]

Answer:

15.86 inches

Step-by-step explanation:

Area of rectangle = length times width

l = ∛81 inches

w = 3 2/3 inches

= l x w

= ∛81 x 3 2/3

= 15.86 inches

5 0
2 years ago
Tyler wants to buy a new television that costs $312. He has already saved $96. He plans to save $24 per week over the next few w
Elena L [17]

Answer:

a

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Describe how you would determine the x-intercepts from the factored form of a quadratic equation
Aloiza [94]

Answer:

Please check explanations

Step-by-step explanation:

Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x

The particular value of x represents the solution that shows the value of the x-intercept

for example

In a case of a quadratic equation where we have

(x-a)(x-b) = 0

Then we can have

(x-a) = 0 or ((x-b) = 0

Then we have x = a or x = b

a and b are the x intercepts in this case

4 0
3 years ago
Other questions:
  • The equation 6.32=k2 shows that buying 2 bags of apples would cost 6.32. how much is it for one bag
    6·1 answer
  • V(t)=125t^2-3000t+22000
    9·1 answer
  • At a firm, ten entry-level employees earn $40,000 a year, 6 junior-level employees earn $60,000 a year, and 3 managers earn $80,
    15·1 answer
  • Three lengths of 2.25 feet each are cut from a board 12 feet long. How long is the remaining piece of wood?
    13·1 answer
  • If four desk lamps cost $120 what is the average cost per lamp?
    11·2 answers
  • i am a 2-digit product. I am the difference of numbers whose sum is 36.The larger of these numbers is twice the smaller. What nu
    13·1 answer
  • Type the correct answer in each box.
    7·2 answers
  • A. Directions/Instructions:
    10·1 answer
  • Alberto has a scale drawing of an object whose area is 12 square centimeters. The scale factor is 1:3 Alberto says that the area
    5·1 answer
  • Which number sentence is represented by this model?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!