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Alik [6]
3 years ago
8

3x+4y=29 6x+5y=43 Solve through elimination

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

Let's solve your system by elimination.

3x+4y=29;6x+5y=43

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3x+4y=29)

1(6x+5y=43)

Becomes:

−6x−8y=−58

6x+5y=43

Add these equations to eliminate x:

−3y=−15

Then solve−3y=−15for y:

−3y=−15

−3y −3 = −15

−3

(Divide both sides by -3)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+4y=29

Substitute5foryin3x+4y=29:

3x+(4)(5)=29

3x+20=29(Simplify both sides of the equation)

3x+20+−20=29+−20(Add -20 to both sides)

3x=9

3x 3 = 9

3

(Divide both sides by 3)

x=3

Answer:

x=3 and y=5

Step-by-step explanation:

I love this stuff 229 999 0523

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Answer:

B

Step-by-step explanation:

From annual salary of 42,600, we have to subtract the following percentages:

<u>Social Security:</u>

0.062 * 42,600 = 2641.2

<u>Medicare:</u>

0.014 * 42,600 = 596.4

<u>State Income Tax:</u>

0.03 * 42,600 = 1278

<u>Federal Income Tax:</u>

0.13 * 42,600 = 5538

<u>Total Deductions</u> (from percentages) = 2641.2 + 596.4 + 1278 + 5538 = 10053.6

Now, remaining salary:

42,600 - 10053.6 = 32546.4 (annual)

Divided by 12 to get monthly:

32546.4 / 12 = 2712.2 (monthly)

Now, monthly deductions are:

260 + 280 = 540

<u>Net Salary:</u> 2712.2 -  540 =2172.2

5 0
3 years ago
In 4 days, the price of a share of stock rose 3/4 of a point. On a average, what was the change in stock each day? Answers: A) 3
jok3333 [9.3K]

Answer:

i think the answer is option 1           3

Step-by-step explanation:

i say this bc 3/4 times 4 is 3

hope this helps

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3 years ago
|2x + 5| = 13 please show work
gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

      -5      -5

|2x| = 8

2x/2  8/2

|x| = 4

3 0
3 years ago
How many sets of 7 questions can be chosen from a file of 25 questions?
likoan [24]
If all 25 questions are different,

When order of selection counts:
P(25,7)
=25!/(25-7)!
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When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
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Answer:

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Step-by-step explanation:

x² - 5x - 18 = 0

x² -5x = 18

x² -5x + (5/2)²= 18 + (5/2)²

8 0
3 years ago
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