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
enot [183]
3 years ago
13

What is the solution (using substitution) of the following equations? 2x+y=20 6x-5y=12

Mathematics
1 answer:
Scrat [10]3 years ago
5 0

Y has a coefficient of 1 in the first equation, so it is easiest to use that one to write an expression for y.

... y = 20 - 2x . . . . . subtract 2x

Now, this expression can be substituted for y in the second equation.

6x-5(20-2x)=12\qquad\text{substituted for y}\\6x-100+10x=12\qquad\text{eliminate parentheses}\\16x=112\qquad\text{add 100}\\\\x=\dfrac{112}{16}=7\qquad\text{divide by the x-coefficient}

Then, using the expression for y, we find its value

... y = 20 -2·7 = 6

The solution of the equations is (x, y) = (7, 6).

You might be interested in
Perimeter of 40 triangles when the sides are all 1 cm long
Marianna [84]

Answer: 120 cm.

Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.

7 0
2 years ago
Find the value of x.
azamat

Answer:

98 °

Step-by-step explanation:

We know that the sum of the angles in a triangle is 180. We also know that angle DAB is 122°, meaning that angle CAB is 180-122, which is 58°. We also know that angle CBA is 24 degrees. Therefore, angle x is just 180-(58+24), which is 98

3 0
2 years ago
Very easy answer but does any one know what C is
Pavel [41]
Answer: As the number of rides given by the taxi driver increased, the earnings of the taxi driver also increases.
7 0
3 years ago
Read 2 more answers
Mark and Trisha are traveling in the same direction and Mark is going 16 miles per hour. Trisha is going 12 miles per hour but s
Lorico [155]

Answer:

32 miles

Step-by-step explanation:

Given data

Let the total distance be x miles

Marks speed= 16miles per hour

Trisha's speed= 12 miles per hour

Trisha has covered 8 miles and has  (x-8) miles to finish line

We know that

Speed= distance/time

time= distance/speed

Hence the time taken for Mark to finish is

time= x/16---------------1

The time taken for Trisha to finish is

time= (x-8)/12-----------2

equate 1 and 2 above

x/16= (x-8)/12

cross multiply

16(x-8)= 12*x

16x-128= 12x

collect like terms

16x-12x= 128

4x=128

x= 128/4

x= 32 miles

Hence they will meet at exactly 32 miles along the way

5 0
2 years ago
You have 846.82 in your bank account. How much Simple Interest will your money earn after 1 year?
vlabodo [156]

Answer:

sorry i do not know the answer to this one :(SORRY):

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The Reverend Henry Whitehead was skeptical of John Snow's conclusion about the Broad Street pump. After the Broad Street cholera
    6·1 answer
  • HELP!!!!!!!!! ME!!!!!!!!! HELP!!!!
    11·1 answer
  • I need help from someone please?!
    14·1 answer
  • Suppose you know the surface area of a sphere. Explain how you would find the volume of the sphere. Provide an example.
    7·1 answer
  • Billy has 5 cats and he gives 2 of them away how many cats dose billy have now
    5·2 answers
  • A science fair poster is very rectangular 3 feet long and 2 feet wide what is the area of the poster in square inches
    7·1 answer
  • George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If
    12·1 answer
  • Quiz
    10·1 answer
  • Work out the lengths of sides a and b.
    9·1 answer
  • What is the simplest form of 324xy³2<br> ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!