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4 years ago

1. How do you find the solution of the system of equations ? Find x and y.

Mathematics

2 answers:

Westkost [7]4 years ago

7 0

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Use the simultaneous equations method:

x - 4y = 6

3x + 4y = 10

Add these two equations together to cancel out 'y':

4x = 16

Divide both sides by 4:

x = 4

substitute this value into one of the equations:

(4) - 4y = 6

Subtract 4 from both sides:

- 4y = 2

Divide both sides by -4:

y = -0.5

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

zalisa [80]4 years ago

5 0

Answer:

x = 4, y =1/2 is the solution of system of equations.

Step-by-step explanation:

We have given the system of equations :

x - 4y = 6 (eq 1)

3x + 4y = 10 (eq 2)

We have to solve the system of equations.

Find the value of x from (eq 1) we get,

x = 6+4y (eq 3)

Put in eq 2 we get,

3(6+4y) + 4y = 10

18+12y +4y = 10

18 +16y = 10

16y =10-18

16y = -8

y = -1/2

Put y =-1/2 in (eq 3) we get,

x = 6+4(-1/2)

x = 6 -2= 4.

x = 4, y =1/2 is the solution of system of equations.

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If PG' equals 0. 5 units, what is PG? 2. 5 units 3 units 4. 5 units 6 units.

Dmitrij [34]

The correct option is B which is the value of PG is 3 units.

Given

The scale factor of the dilation of segment HG is 1/6.

If PG' equals 0.5 units,

<h3>What is the scale factor?</h3>

The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.

The scale factor of the dilation of segment HG is 1/6.

By the rule of scale factor;

$\rm \dfrac{PG'}{PG}= SF = \dfrac{1}{6}$

Where SF represents the scale factor.

Solving for PG, we get:

$\rm \dfrac{PG'}{PG}=\dfrac{1}{6} \\\\ \dfrac{0.5}{PG} = \dfrac{1}{6}\\\\ 0.5 \times 6= 1\times PG\\\\ PG = 3$

Hence, the value of PG is 3 units.

To know more about the Scale factor click the link given below.

brainly.com/question/16806865

3 0

3 years ago

janet is three years older than her sister julie.janets brother is eight years younger than their sister julie.the sum of all of

solniwko [45]

Let's name Janet's age x

julie is then x-3 years old

and the brother is x-3-8=x-11

and all three of them: x+x-3+x-11 are 55

so we count:

2x-3+x-11=55
3x-3-11=55
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add 14 5o both sides:

3x=69

divide by 3:
x=23

so Janet is 23, Julie is 23-3=20 and the brother is 20-8=12 years old!

6 0

3 years ago

Read 2 more answers

Let f(x)=e^x+3 <br> show that f^-1(x)=ln x-3<br> can someone explain this to me

andrey2020 [161]

Explanation:

For a function ...

y = f(x)

the inverse function is ...

x = f(y)

To write that in the form y=f^-1(x), you need to solve for y.

For your function f(x) = e^x +3 this looks like ...

x = e^y +3

x -3 = e^y . . . . . subtract 3

ln(x -3) = y . . . . . take the natural log

So, we can write ...

f^-1(x) = ln(x -3)

_____

Attached is a graph of these functions. As you might guess from the interchange of x and y, a function and its inverse are mirror images of each other across the line y=x.