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
Alchen [17]
3 years ago
5

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

Mathematics
2 answers:
Firdavs [7]3 years ago
7 0

Answer:

d

Step-by-step explanation:

2/3, 1/5

natka813 [3]3 years ago
5 0

ANSWER

( \frac{2}{3} , \frac{1}{5} )

EXPLANATION

The first equation is

\frac{1}{2} x -  \frac{3}{4} y =  \frac{11}{60} ...(1)

The second equation is

\frac{2}{5} x  +  \frac{1}{6} y =  \frac{3}{10} ...(2)

We want to eliminate y, so we multiply the first equation by

\frac{4}{5}

\frac{4}{5}  \times \frac{1}{2} x - \frac{4}{5}    \times \frac{3}{4} y =  \frac{11}{60}  \times  \frac{4}{5}

\frac{2}{5} x - \frac{3}{5} y =  \frac{11}{75} ...(3)

We now subtract equation (3) from (2)

(\frac{2}{3} x  -  \frac{2}{3} x )+ ( \frac{1}{6} y -  -  \frac{3}{5}y ) =(  \frac{3}{10}  -  \frac{11}{75} )

\frac{1}{6} y  +  \frac{3}{5}y  =\frac{3}{10}  -  \frac{11}{75}

\frac{23}{30}y =  \frac{23}{150}

Multiply both sides by

\frac{30}{23}

\implies \:  \frac{30}{23} \times  \frac{23}{30}y=  \frac{23}{150}  \times  \frac{30}{23}

\implies \: y =  \frac{1}{5}

Substitute into the first equation to solve for x .

\frac{1}{2} x -  \frac{3}{4}  \times \frac{1}{5} =  \frac{11}{60}

Multiply to obtain

\frac{1}{2} x -  \frac{3}{20} =  \frac{11}{60}

\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}

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

Multiply both sides by 2.

2 \times \frac{1}{2} x =2 \times  \frac{1}{3}

x = \frac{2}{3}

The solution is

( \frac{2}{3} , \frac{1}{5} )

You might be interested in
Please include step by step!
Paladinen [302]

Answer:

C=10pi

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Prime between number of 1234 to 1352​
qwelly [4]

prime between number of 1234 to 1352​ are 1237, 1249,  1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327

8 0
2 years ago
Draw 8 lines that are between 1 inch and 3 inches long measure each line to the nearest fourth inch and make a line plot
Paraphin [41]
The Supplemental Security Income (SSI) program, administered by the Social Security Administration (SSA), is the income source of last resort for thelow-income aged, blind, and disabled. As the nation's largest income-assistance program, it paid $38 billion in benefits in calendar year 2006 to roughly 7 million recipients per month. BecauseSSI is means tested, administering the program often requires month-to-month, recipient-by-recipient benefit recomputations. An increase in a recipient's income usually triggers a benefit recomputation. Or, an increase in the recipient's financial assets, which may render the recipient ineligible, would also prompt a recomputation. With this crush of ongoing recomputations, it is of little wonder that administrative simplification is a time-honored mantra for program administrators.
6 0
3 years ago
What is −183 ? Group of answer choices
vitfil [10]

Answer:

it is b because I did the problem yes it is b

7 0
3 years ago
Find the value of ‘x’
Karolina [17]

Answer:

x=30

Step-by-step explanation:

the midpoint is half the top + the bottom so;

1/2 (27 + 33) = x

1/2 (60) = x

30 = x

MARK BRAINLIEST IF YOU GET IT RIGHT!!!!

5 0
3 years ago
Other questions:
  • If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?
    6·1 answer
  • PLEASE HELP AND SHOW WORK i'm very confused
    5·1 answer
  • Can a triangle with side lengths of 8, 15, and 17 be a right triangle?
    6·2 answers
  • How do you add/subtract in scientific notation? Answer in a sentence.
    12·1 answer
  • How to you find the area of a trapezoid with multiple steps?
    12·1 answer
  • Marissa is painting one of her bedroom walls. She marks off 1/4 of the wall. Then she divides the marked section into 3 equal pa
    7·1 answer
  • The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the r
    6·1 answer
  • 14. A computer originally costs $1550 is on sale for 15% off. How much is
    11·1 answer
  • The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?
    15·2 answers
  • You move left 6 units. You end at (-4, 4). Where did you start?<br> (you need a coordinate plane)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!