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
Help please only a and b
vesna_86 [32]

Answer:

A:48 B:45

Step-by-step explanation:

8 0
3 years ago
What is the length of side AD?. . . 6 cm. 8.5 cm. 10.4 cm. 12 cm
ludmilkaskok [199]
In triangle ABC, AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x)  tan30 <span>=(24−x)/</span><span>√3
</span>

In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6

AD = AC - DC = 24- (24-x) = 6</span></span>
5 0
3 years ago
Read 2 more answers
What is the domain of the relation?
Tresset [83]

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

6 0
3 years ago
Read 2 more answers
PLEASE Help with number 14
scZoUnD [109]

14) The sum of anything and its additive inverse is zero. (That is the definition of additive inverse.) The appropriate choice is ...

... A) equal to 0

8 0
3 years ago
1. Find the lengths of the missing sides in the pairs of s 5 X 4 2 3 7​
Ahat [919]

Answer:

21185

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Help please this is for my homework that is due to tomorrow!!
    7·1 answer
  • The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2. Find:
    7·1 answer
  • Eduardo used fabric to make three costumes. he used 1/4 yard for first then 2/4 yard for the second and 3/4 yard for the third c
    12·1 answer
  • Please help I’m stuck on this question
    9·1 answer
  • Two coins, A and B, each have a side for heads and a side for tails. When coin A is tossed, the probability it will land tails-s
    8·1 answer
  • ???????????????????????????????????????????????????????????????????????????????
    10·1 answer
  • Reduce 45/36 fraction into the <br> lowest terms.<br>​
    8·2 answers
  • Lamonte finds some nickels and quarters under the couch cushions. How many coins
    14·1 answer
  • Find the slope of the line through each pair of points.
    5·2 answers
  • Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!