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
DerKrebs [107]
3 years ago
8

7) Solve the following system of equations below algebraically using substitution.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

You might be interested in
Use 3 for at Volume of a Cylinder
pychu [463]

Step-by-step explanation:

464.5cm³

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

3 0
2 years ago
The bakery used 12 cups of sugar in their large batch of cupcakes. How many quarts of sugar is this?
trapecia [35]

Answer:

3

Step-by-step explanation:

There are 4 cups in 1 quart, so 12/4 is just 3

- yw :)

6 0
3 years ago
Read 2 more answers
When I checked my bank account this morning I had $4,300. This is a relief
Ivan

Answer:

ahaha that's good

you didn't steal right?

haha jk

lucky you!

3 0
2 years ago
15% of the apples in a crate are rotten. There are 12 rotten apples in the crate.
ladessa [460]
12/80
=15 percent

There are 80 apples in the crate

Do 12 divided by 15 then multiply by 100 = 80
4 0
3 years ago
Read 2 more answers
Can some one help me brainliest to first ACTUAL answer
kkurt [141]
11.3> b/4.3 (multiply both sides by 4.3)
4.3(11.3)> 4.3b/4.3 (simplify)
b<48.59
4 0
3 years ago
Other questions:
  • Inessa ran 3 laps in 8 minutes. How long would it take her to run 10 laps at this pace? (This is proportions)
    12·1 answer
  • How do u convert 3.54 ug to grams
    9·1 answer
  • Can someone please help me
    13·1 answer
  • There were 576 bottles of water at the snack shop. People bought 469 bottles of water. How many bottles of water are at the snac
    9·2 answers
  • An entomologist can model the number of mosquitos in a forest as a function of rainfall.
    8·2 answers
  • The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
    15·2 answers
  • What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
    6·2 answers
  • In mathematics given that x=L2-L1/L1(O2-O1).
    9·1 answer
  • PLEASE HELP! 50 POINTS
    11·1 answer
  • a house is 52.0 ft long and 22.0 ft wide and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!