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GREYUIT [131]
3 years ago
8

I don't understand the substitution method?

Mathematics
1 answer:
liq [111]3 years ago
6 0
It depends on what variable you are tying to solve for first. Say you are trying to solve for x first and then y on the first problem you wrote.

In substitution you solve one of the equations for example with
6x+2y=-10
2x+2y=-10
you solve 2x+2y=-10 for x

2x+2y=-10
-2y = -2y (what you do to one side of the = you do to the other)
2x=-10-2y (to get the variable by its self you divide the # and the variable)
/2=/2 (-10/2=-5 and -2y/2= -y or -1y, they are the same either way)
x=-5-y

now you put that in your original equation that you didn't solve for:
6(-5-y)+2y=-10 solve for that
-30-6y+2y=-10 combine like terms
-30-4y=-10 get the y alone and to do this you first get the -30 away from it
+30=+30
-4y=20 divide the -4 from each side
/-4=/-4 (20/-4=-5)
y=-5

now the equation you previously solved for x can be solved for y.
x=-5-y
x=-5-(-5) a minus parenthesis negative -(- gives you a positive
-5+5=0
x=0

and now we have solved the problem. x=0 and y=-5

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Help me please !! i need the answer
madam [21]

Answer:

PQ=22\\\\QR=7\\\\PR=29

Step-by-step explanation:

To find the value of y, you can create an equation where two parts of the line are equal to the whole line:

PQ+QR=PR

Substitute given values:

(8y+6)+(y+5)=(19y-9)

Solve for y. Simplify parentheses:

8y+6+y+5=19y-9

Combine like terms to simplify the equation:

8y+y+6+5=19y-9\\\\9y+11=19y-9

Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:

9y+11+9=19y-9+9\\\\9y+20=19y

Subtract 9y from both sides:

9y-9y+20=19y-9y\\\\20=10y

Isolate the variable. Divide both sides by 10:

\frac{20}{10} =\frac{10y}{10} \\\\y=2

The value of y is 2. Insert this value into each line segment value and solve:

PQ=8(2)+6\\\\PQ=16+6\\\\PQ=22

QR=(2)+5\\\\QR=7

PR=19(2)-9\\\\PR=38-9\\\\PR=29

:Done

You can check by using:

PQ+QR=PR\\\\22+7=29

This statement is true, so the values are correct.

7 0
3 years ago
The circumference of a circle is 69.08 feet. What is the radius?
kompoz [17]

Answer:

divide circumference by pi 3.14

divide by 2

it's 11

pls brainliest

8 0
3 years ago
What is the theoretical probability that a coin toss results in two heads showing?
koban [17]

Step-by-step explanation:

1 in 4

The probability (likelihood) of getting two heads is 1 in 4 (. 25).

8 0
3 years ago
Read 2 more answers
Find Y. round to the nearest tenth.
masya89 [10]

9514 1404 393

Answer:

  32.7°

Step-by-step explanation:

Solve the given equation for C, then fill in the given values and evaluate.

  C = arccos((a² +b² -c²)/(2ab))

  Y = arccos((50² +90² -55²)/(2·50·90)) = arccos(7575/9000) ≈ 32.7°

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Y is angle A in the attached triangle solver.

3 0
3 years ago
Classify the following polynomials. Combine any
zavuch27 [327]

First simplify all polynomials and rewrite them in descending exponent order.

1. -x^2+2x

2. x^3-4x^2

3. -2x^2+2x+3

Now observe the terms with highest exponents in each expression, in particularly focus on their exponent value,

-x^2 with value of 2

x^3 with value of 3

-2x^2 with value of 2

The value is also known as order of polynomial and it is a way to classify polynomials.

Every order creates a <em>f</em><em>a</em><em>m</em><em>i</em><em>l</em><em>y</em> of polynomials determined by the order (which is always greater than -1)

A polynomial such as (1) and (3) have an orders of 2, which is often called quadratic order and thus the polynomials (1), (3) are classified in the same <em>family</em> of quadratic polynomials, these are polynomials with order of 2.

Polynomial (2) however has an order of 3, which is called cubic order. This polynomial (2) is classified in the family of cubic polynomials.

There are of course many other families, in fact, infinitely many of them because you have order 0, 1, 2, 3, and so on there are precisely \aleph_0+1 read as "aleph 0 + 1" (the number of natural numbers + 1 (because 0 is not a natural number)) of polynomial families.

The first few have these fancy names, for example:

order 0 => constant polynomial

order 1 => linear polynomial

order 2 => quadratic polynomial

order 3 => cubic polynomial

order 4 => quartic polynomial

and so on.

Hope this helps!

3 0
3 years ago
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