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2 years ago

Solve the system of linear equations using multiplication. - 3x + 2y 5x - 3y = 17 The solution is

Mathematics

2 answers:

ladessa [460]2 years ago

7 0

This is what i got X= 17/2 + Y/2

Leya [2.2K]2 years ago

4 0

Answer:

Required Answer:-

Given:

5x - 3y = 2

3x - 2y = 4

To Find:

The values of x and y.

Solution:

We have,

→ 5x - 3y = 2 – (i)

→ 3x - 2y = 4 – (ii)

Multiplying equation (i) by 2, we get,

→ 10x - 6y = 4 – (iii)

Multiplying equation (ii) by 3, we get,

→ 9x - 6y = 12 – (iv)

Subtracting (iii) from (iv), we get,

→ -x = 8

→ x = -8

Now, from (i),

→ 5 × (-8) - 3y = 2

→ -40 - 2 = 3y

→ -42 = 3y

→ y = -14

So,

→ (x, y) = (-8, -14)

Answer:

(x, y) = (-8, -14)

Step-by-step explanation:

Plz mark as brainliest

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A sports magazine claims that in a certain country, 45% of people like soccer A news channel asked 30 randomly selected people i

LiRa [457]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest is "the population proportion of people that like soccer A news channel"= p

The hypothesis are:

H₀: p = 0.45

H₁: p ≠ 0.45

To study the population proportion you have to use the approximation of the standard normal distribution:

$Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }$ ≈ N(0;1)

A sample of n=30 was taken and surveyed, 18 of those answered positively, then the sample proportion is:

p'= 18/30= 0.6

The statistic under the null hypothesis is:

$Z_{H_0}= \frac{0.60-0.45}{\sqrt{\frac{0.45*0.55}{30} } } = 1.6514$

I hope it helps!

6 0

2 years ago

The equation |ax + b| = c must have ?

ArbitrLikvidat [17]

Answer:

0, 1, or 2 solutions

Step-by-step explanation:

The equation |ax + b| = c

The equation have absolute value symbol

Absolute value always gives us the positive number.

For absolute value function , we need to consider two cases

positive and negative.

|x|=x for positive , and |-x|=x for negative case

For negative case we include negative sign

So |ax + b| = c can be written as 2 equations

(ax+b)=c (ax+b)=-c

So we will get maximum of 2 solutions

The equation |ax + b| = c must have 0, 1, or 2 solutions

4 0

2 years ago

Read 2 more answers

Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.

Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is $5.5 \times 10^5$ .It is greater by smallest number by 500 times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form $a.bc.. \times 10^k$ exponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have $a^b$ base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}$

The given numbers are:

First number = $6.5 \times 10^3 = 6500$
Second number = $5.5 \times 10^5 = 550000$
Third number = $1.1 \times 10^3 = 1100$

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

$\dfrac{5.5 \times 10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500$

Thus, it is found that greatest number is $5.5 \times 10^5$ . It is greater by smallest number by 500 times.

Learn more about scientific notation here:
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6 0

2 years ago

What is the property of (4 + 7) + 8 = 4 + (7 +8) ?

nasty-shy [4]

Answer:

Commutative

Step-by-step explanation:

2 + 4 = 4 + 2 as an example

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2 years ago

Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)

almond37 [142]

Answer:

The sample is the amount of people because not everyone is getting chosen

Step-by-step explanation:

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2 years ago

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Solve the system of linear equations using multiplication. - 3x + 2y 5x - 3y = 17 The solution is​

Solve the system of linear equations using multiplication. - 3x + 2y 5x - 3y = 17 The solution is