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
vlabodo [156]
3 years ago
14

5х + y = 16 х+ 6у = 38

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

(2,6)

Step-by-step explanation:

Solve by substitution. Solve the second equation for x:

x+6y=38\\\\x+6y-6y=38-6y\\\\x=38-6y

Insert the value of x into the first equation:

5(38-6y)+y=16

Solve for y. Simplify multiplication using the distributive property:

5(38)+5(-6y)+y=16\\\\190-30y+y=16\\\\190-29y=16

Subtract 190 from both sides:

190-190-29y=16-190\\\\-29y=-174

Isolate the variable to find its value. Divide both sides by -29:

\frac{-29y}{-29}=\frac{-174}{-29}  \\\\y=6

Now take the value of y and insert back into either equation to solve for x:

5x+6=16

Subtract 6 from both sides:

5x+6-6=16-6\\\\5x=10

Divide both sides by 5:

\frac{5x}{5}=\frac{10}{5}\\\\  x=2

Therefore, the solution to the system is (2,6).

:Done

You might be interested in
Find the missing angle. PLS HELP FAST !
eimsori [14]

Answer:

x = 53.5°

Hope this helps... Have a good day!!

3 0
3 years ago
Many poker games start with each player being dealt five cards, called the player's "hand". Remember, there are 52 cards in a st
jek_recluse [69]

Answer:

The number of different possible poker hands is found by counting the number of ways that 5 cards can be selected from 52 cards, where the order is not important. It is a combination, so we use c n r

Step-by-step explanation:

The possible number of the poker hands is probably . C 52 5= 52!/5!x47!= 2598960

5 0
3 years ago
Last month, Ebony had 72 dollars in a checking account. The current balance is 126 dollars. What is the percent change in the ac
TEA [102]

Answer:

43%

Step-by-step explanation:

Last month, 72.

This month, 126.

Last month, ebony had 72/126 in her account to what she has this month. 72/126 as a percentage.

Ratio:

72:126

X100

7,200:12,600

÷126

57.142:100

Ebony had approximately 57% of her cash in her account last month, compared to this month.

5 0
3 years ago
Whats 30 divided by 6/7
Andre45 [30]
30:\frac{6}{7}=30\cdot\frac{7}{6}=5\cdot7=35
6 0
3 years ago
Read 2 more answers
4sinθ – 1 = - 3 for 0<θ< 360
EastWind [94]

Answer:

\theta = 210^\circ or \theta = 330^\circ

Step-by-step explanation:

4 \sin \theta - 1 = -3

4 \sin \theta = -2

\sin \theta = \dfrac{-2}{4}

\sin \theta = -0.5

For sin θ = 0.5, the reference angle is θ = 30 deg.

\sin 30^\circ = 0.5

\theta = 210^\circ or \theta = 330^\circ

7 0
3 years ago
Other questions:
  • Paige’s back yard has an area of 95.9 square meters of the length of the yard is 14 meters what is the width
    6·1 answer
  • Which expression means 7 more than a number?
    11·1 answer
  • Which transformation on quadrilateral s must be include to result in Quadrilateral
    9·1 answer
  • 14-12x+39x-18x=256-60x-657x​
    14·1 answer
  • Which of the following is defined by a line divides two sides of a triangle
    6·1 answer
  • Write an equation in slope-intercept form when given the slope and y-intercetp. Slope = 0 y-intercept = -3​
    12·2 answers
  • Question 3 of 10
    10·1 answer
  • 3x – 15 = 39<br> =<br> What does x equal
    10·2 answers
  • 4tan(x)sin(x)+5sec(x) simplifies to A sec(x) - B cos(x)
    8·1 answer
  • Write the exponential function that represents the same relationship for each table! please help!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!