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
ad-work [718]
2 years ago
13

How do you solve linear equations with substitutions?

Mathematics
1 answer:
Nostrana [21]2 years ago
5 0

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

Solve the following system by substitution.

2x – 3y = –2

4x +   y = 24

The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.

For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:

4x + y = 24

y = –4x + 24

Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:

2x – 3(–4x + 24) = –2

2x + 12x – 72 = –2

14x = 70

x = 5

You might be interested in
Jane works at a jewelry store and receives a 35% commission for everything she sells. Her sales this week were $5,500. How much
tresset_1 [31]

Step-by-step explanation:

5500×35=192500

/100=1925 $

6 0
3 years ago
Mario has a rectangular prism completely filled with sand that has a base area of 85 cm² and a height of 15 cm. Mario pours all
just olya [345]

The base area of this second rectangular prism is 51 cm²

The rectangular prism completely filled with sand has a base area of 85cm² and height of 15cm .

<h3></h3><h3> volume of a rectangular prism</h3>
  • volume = Bh

where

B = base area

h = height

Since the first rectangular prism was completely filled with sand and it completely filled the second rectangular prism, it means they both have the same volume.

Therefore,

volume of the first rectangular prism = volume of the second rectangular prism.

  • volume  = Bh
  • volume = 85 × 15
  • volume = 1275 cm³

Therefore, the base area of the second rectangular prism can be calculated as follows:

volume = Bh

1275 = 25B

B = 1275 / 25

B = 51 cm²

learn more on prism here: brainly.com/question/2517494?referrer=searchResults

8 0
2 years ago
What is 1/3 divided by 4
saveliy_v [14]

Answer:

0.08333333333

Step-by-step explanation:

(1/3)/4 in a calculator

6 0
3 years ago
Read 2 more answers
1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?
MariettaO [177]
Oh, I SEE what da pattern is! =D
You see, like in this problem:
2 + 5 = 12
They did 5 times 2 = 10, plus da 2 in da problem = 12.
Same with 3 + 6 = 21, 6 times 3 = 18, 18 plus da 3 given in da problem = 21.
Just like 1 + 4 = 5, 4 times 1 = 4, plus da 1 in da problem = 5.
SO,
with that strategy, 8 +11 = 96, because 8 times 11 = 88, plus da 8 given in da problem = 96.
I hope I helped! =D
6 0
3 years ago
8 × 10 + 6 − 2 7 + 5 × 8 − 4
riadik2000 [5.3K]

Answer:

95

Step-by-step explanation:

(8)(10)+6−27+(5)(8)−4

=80+6−27+(5)(8)−4

=86−27+(5)(8)−4

=59+(5)(8)−4

=59+40−4

=99−4

=95

hope this helped :)

6 0
2 years ago
Read 2 more answers
Other questions:
  • What’s the answer for this??
    10·2 answers
  • What would 0.5598 × 908÷66 be
    15·2 answers
  • 8. By area, the former U.S.S.R. was the largest country, having 8.649x106 square miles of land. At this time Canada was the seco
    8·1 answer
  • Use decimals to express a probability in tenths.
    8·2 answers
  • An actor invests some money at 7%, and $24000 more than four times the amount at 8%. The total annual interest earned from the i
    7·1 answer
  • Hiiooo! Could someone please help me with this problem❤️❤️
    9·1 answer
  • What is the vertex of y=-X2+2x?​
    9·1 answer
  • If trapezoid
    11·1 answer
  • A square has sides of length 8.4 . Work out the length of a diagnol of the square . Give your answer correct to 3 significant fi
    5·1 answer
  • How to remove the parentheses from − (2w−u−5)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!