Can i get some help?

How do you solve 3x-2y=-5 ; 3y-4x=8 for x and y. Explain please.

blagie [28]

3x-2y=-5
3y-4x=8

1) multiply the first equation by 3
3(3x-2y=-5) this will give you the new equation: 9x-6y=-15

2) multiply the second equation by 2
2(3y-4x=8) this should give you the equation: 6y-8x=16

3) combine both equations/ like terms
9x-6y=-15
6y-8x=16

4) -6y and 6y cancel out
9x=-15
-8x=16

5) 9x and -8x combine to make 1x or just x and -15 combined with 16 gives you just 1

6) we are now left with:
x=1

7) plug in the x to any of the two original equations ( i chose the first)
3x-2y=-5
3(1) - 2y = -5
3 - 2y = -5
-2y = -8
y = 4
When you plug in the x=1 you are given 3(1) - 2y = -5
Distribute the 3 and you should have 3 - 2y = -5
Subtract 3 from 3 (this cancels out) then from -5
This should leave you with -2y = -8 ( -3 and -5 add to -8)
Divide by -2 ( -2 divided by -2 cancels out)
-8 divided by -2 gives you 4 (two negatives make a positive)

So, y=4 and x=1
To check, plug in x=1 and y=4 into one equation. when you're done with that you can plug them into the other. when you plug them into the first equation you get -5=-5 which means they worked. when plugged into the second, the result is 8=8 which means x=1 and y=4 worked for both equations.

6 0

3 years ago

Simplify. <br> 5/√10<br><br> A. √10/2<br><br> B. √5<br><br> C. √2<br><br> D. √2/2

Kitty [74]

5/√10

5/√10 * √10/√10

5√10/10

√10/2

OPTION A is answer.

3 0

3 years ago

Create a pattern with the rule n - 4

Natalka [10]

The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)

<h3>Further explanation </h3>

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

operations $\boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}$

Numbers in mathematics can be divided into several terms

1. integer

numbers consist of positive, negative and 0 numbers

2. natural numbers

numbers consisting of positive numbers, starting with number 1

3. whole number

a number consists of positive numbers and zeros

4. prime number

numbers that can only be divided by numbers themselves and the number 1

And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.

Integers themselves consist of

1. positive integers

the number to the right of the number 0 is 1,2,3 ...

2. negative integers

the numbers to the left of the zeros are -1, -2, -3 ...

3. number 0

n-4 is an algebraic form

the pattern is generated from rule = (n-4)

There are several possible values of n that can be entered to form a pattern

if it's an integer, the value of n = let's say -3, -2, -1,0,1,2,3

pattern = -7, -6, -5, -4, -3, -2, -1, ...

if it's a natural number then the value of n = let's say 1,2,3

pattern = -3, -2, -1, ...

if it's a whole number then the value of n = let's say 0,1,2,3

pattern = -4, -3, -2, -1, ...

if it's prime number then the value of n = let's say 2,3,5,7 ...

pattern = -2, -1,1,3, ....

<h3>Learn more </h3>

Express 0.000431 L answer as an integer

brainly.com/question/10876135

type of number

brainly.com/question/12788761

Classify the number as a natural, whole, integer, rational, or irrational.

brainly.com/question/2731293

Keywords: natural, whole, integer, prime, number

5 0

3 years ago

Read 2 more answers

Steve washed 15 cars in 3 hours.how many cars can he wash in 7 hours?

DanielleElmas [232]

35 Cars because, if you times 3 by 5 it equals 15 which means that 1 hour equals 5 cars. So you times 7 by 5 and that will give you the amount of cars that were washed.

3 0

3 years ago

The lowest price of an MP3 of a song in an online store is $.99. Write an inequality that represents the price p in dollars of a

Nataly_w [17]

When we speak of the word "lowest", we mean to say that all the possible prices of the song for MP3 are greater than $0.99. Thus, the inequality that would best represent the given scenario is,
p ≥ 0.99

8 0

3 years ago