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Maru [420]
3 years ago
10

What's 4x + 3y = 6 4x - y = 2​

Mathematics
2 answers:
emmainna [20.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

4x + 3y = 6 -----------------(I)

4x - y =2 ---------------------(II)

Multiply (II) by (-1) and  then add

(I)                4x + 3y = 6

II) *(-1)      <u>  - 4x + y  = - 2  </u> {Now add, x will be eliminated}

                         4y = 4

                           y= 4/4

y= 1

Plugin y =1 in equation (I)

4x +3*1 = 6

4x + 3 = 6

      4x = 6- 3

      4x = 3

        x = 3/4

umka21 [38]3 years ago
6 0

Answer:

( \frac{3}{4}, 1 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 6 → (1)

4x - y = 2 → (2)

Subtract (2) from (1) term by term to eliminate x

4x - 4x + 3y - (- y) = 6 - 2, that is

4y = 4 ( divide both sides by 4 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

4x + 3(1) = 6

4x + 3 = 6 ( subtract 3 from both sides )

4x = 3 ( divide both sides by 4 )

x = \frac{3}{4}

solution is ( \frac{3}{4}, 1 )

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So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
7 0
3 years ago
t takes Phillip 7 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Kim 3 hours. How l
Leya [2.2K]

Answer:

2.1 hrs

Step-by-step explanation:

In 1 hr, Phillip would have proofed 1/7 of the chapter. In 1 hr, Kim would have proofed 1/3 of the chapter. So, together in 1 hr, they would have proofed 10/21 of the chapter. So, it would take 21/10 or 2.1 hrs to proof the whole chapter together.

5 0
4 years ago
A student researcher works at ski resort. For a student project, they would like to know whether the proportion of skiers on a p
Alex73 [517]

Answer:

One sample test of proportions

Step-by-step explanation:

Which test is most appropriate to test whether the proportion of skiers is not 0.50?

Since the test says to test whether the proportion of skiers is not 0.50, then here we will be studying just only the promotion of skiers without the comparison with snowboarders.

We have been given an hypothesized promotion and the test says to test against this proportion, so the appropriate test to use here is the one sample test of proportions

5 0
3 years ago
-(4-8n) -7n = help meeeeeeeeee
romanna [79]

Answer:

-4+n

Step-by-step explanation:

-4+8n-7n=

4 0
3 years ago
Mrs. Santiago is buying bagels for her office.Each box contains 6 plain, 4 blueberry, and2 onion bagels. Write and interpret a r
yawa3891 [41]

Explanation:

Each box contains

\begin{gathered} 6plain \\ 4blueberry \\ 2onionbagels \end{gathered}

The ratio that compares the number of blueberry bagels in one box to the number of onion bagels in one box will be calculated below as

\begin{gathered} 4:2 \\ in\text{ the simplest form } \\ 2:1 \end{gathered}

This means that for every one onionbagels in the box, there are 2 blueberry bagels

Part B:

Given that there are 20 blueberry bagels, the number if onion bagels will be calculated below as

\begin{gathered} \frac{2}{1}=\frac{20}{x} \\ cross\text{ multiply, we will have} \\ 2x=20 \\ \frac{2x}{2}=\frac{20}{2} \\ x=10 \end{gathered}

Hence,

The final answer is

10\text{ }onion\text{ }bagels

7 0
1 year ago
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