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
nataly862011 [7]
3 years ago
9

Solve the following system of equations using substitution and show all work.

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

2x + y = 20

y = 20 - 2x

Substitute into second equation:

6x - 5(20-2x) = 12

6x -100 +10x = 12

16x = 112

x = 7

Plug back into first equation:

2(7) + y = 20

14 +y = 20

y = 6

Answer is x = 7 and y = 6

Zielflug [23.3K]3 years ago
6 0

2x + y = 20

6x - 5y = 20


2x + y = 20

Subtract 2x on both sides to get "y" by itself, so you can later substitute it into the second equation.

2x + y - 2x = 20 - 2x

y = 20 - 2x


6x - 5y = 12

6x - 5(20 - 2x) = 12   Multiply 5 into (20 - 2x)

6x - 100 + 10x = 12    Combine like terms

16x - 100 = 12     Add 100 on both sides  

16x - 100 + 100 = 12 + 100

16x = 112    Divide 16 on both sides to get "x" by itself

x = 7

Plug in x into either of the original equations to find y.

2x + y = 20

2(7) + y = 20

14 + y = 20

y = 6


x = 7, y = 6

You might be interested in
What is the answer to the question, what is 2-6?
Tema [17]

Answer:

The answer is Negative 4, -4

Step-by-step explanation:

3 0
3 years ago
PLZ HELP! Need this ASAP! Thx so much :)
saul85 [17]

they are giving you the answer AB=AC, so what that means is that the angles are congruent to each other so if angle AC=15 and angle DC=5 all the angles will be the same.

5 0
3 years ago
Name the intersection of lines r and s
Rudiy27
The two lines intersect at point B, hope this helps.
5 0
2 years ago
Find the equivalent expression of 3+2(2p+4t)
NISA [10]

Remember to follow PEMDAS, and to only combine terms with like variables.

First, distribute the 2 to all terms within the parenthesis:

2(2p + 4t) = 2(2p) + 2(4t) = 4p + 8t

3 + 4p + 8t, or (D), is your answer choice, for it cannot be simplified anymore.

~

7 0
3 years ago
The prices of two ratios are in the ratio x:y
Archy [21]

Answer:

4:1

Step-by-step explanation:

x+20 : y+20 = 5 : 2

(x+20)/(y+20) = 5/2

2(x+20) = 5(y+20)

2x+40 = 5y+100

2x = 5y+60 (1)

x-5 : y-5 = 5:1

(x-5)/(y-5) = 5/1

x-5 = 5(y-5)

x-5 = 5y-25

x = 5y-20 (2)

Solve (1) & (2) simultaneously,

2(5y-20) = 5y+60

10y-40 = 5y+60

5y = 100

y = 20

x = 5y-20

x = 5(20)-20 = 100-20

x = 80

x:y

80:20

4:1

8 0
3 years ago
Read 2 more answers
Other questions:
  • annie is sledding down a snow covered hill. she knows that the steeper the hill the faster her sled will go
    12·1 answer
  • Please answer please please
    8·1 answer
  • What is half of 16 3/4
    8·1 answer
  • Which statement can you be sure is true?
    15·1 answer
  • How do you find the distance between something. Two points, or distance in general. I'm very confused and I got I ready to do. A
    15·2 answers
  • 16. A rock weighs 6 and 1/2 tons. How many pounds does the rock weigh?<br> 2,000 lb = 1 T
    14·2 answers
  • What is the first step in solving this problem? <br> ⅘ + ½ =
    8·2 answers
  • All the numbers round to 7 except<br><br><br> 6.61<br><br> 7.89<br><br> 6.58<br><br> 7.37
    12·2 answers
  • There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
    10·1 answer
  • 6 cm<br> 6 cm<br> What is the area?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!