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fredd [130]
4 years ago
11

How do you solve by substitution in algebra?

Mathematics
1 answer:
Elden [556K]4 years ago
7 0
Ok so lets say we have a system of equations:

y = x + 1
x + y = 5

All you would do is plug in what is equal to the variable so:

x + x + 1 = 5

Then you would just simplify and solve

2x + 1 = 5
       -1   -1
_________

2x = 4
--     --
2      2

x=2
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Find the roots for f(x) = x4 + 21x2 – 100.
Shalnov [3]
We will use the substitution:
t = x² ;
t² + 21 x - 100 = 0
t² + 25 t - 4 t - 100 = 0
t ( t + 25 ) - 4 ( t + 25 ) = 0
( t + 25 ) ( t - 4 ) = 0
t 1 = - 25,  t 2 = 4
x = √t
Answer:
The roots are:
x 1 = 5 i
x 2 = - 5 i
x 3 = - 2
x 4 = 2
5 0
4 years ago
A triangular piece of staimed glass has an area of 7 square inches and a height of 5 inches...What is the length of the base????
Elenna [48]
Alright....area is equal to times width. That would mean x*5=7. Because of the Division Property of Equality we can actually divide 5 on both sides to get x=7/5. 

I hoped this helped! If it did pls rate, thank, and give brainliest!
7 0
3 years ago
A plot of land doubles in size by adding x meters to the length and x meters to the width of the land.If the original plot had a
Soloha48 [4]

Answer:

  100

Step-by-step explanation:

The original area is (200 m)×(300 m) = 60000 m². You want an area that is ...

  (200 +x)×(300 +x) = 120000

  60000 +500x +x² = 120000 . . . . eliminate parentheses

  x² +500x -60000 = 0 . . . . . . . . . . subtract 120000

  (x +600)(x -100) = 0 . . . . . . . . . . . . factor

The positive value of x that makes a factor zero is x = 100.

The value of x is 100.

_____

<em>Check</em>

The larger plot will be 300×400, the larger dimension being double the original smaller dimension.

3 0
3 years ago
Pls help me. tyyyyyyyyyyyyyy<br>HAHA sorry for the volume thing in the way
rjkz [21]
<h2>Answer:</h2>

Triangle D

<h3>Hope this helps</h3>
5 0
3 years ago
During a game, Kobe Bryant scores 36 points, consisting of only two-point and three-point shots. He made a total of 15 shots. Ho
Charra [1.4K]

Step-by-step explanation:

10 Three pointers and 2 two pointers

Rip Kobe may he rest in peace

4 0
3 years ago
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