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Sliva [168]
3 years ago
7

X+4y=11 and 2x+2y=-8 solve by elimination

Mathematics
1 answer:
Sliva [168]3 years ago
7 0
<span>Multiply the first equation by -2,and multiply the second equation by 1.</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=11</span>)</span></span><span>1<span>(<span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>)</span></span>Becomes:<span><span><span>−<span>2x</span></span>−<span>8y</span></span>=<span>−22</span></span><span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>Add these equations to eliminate x:<span><span>−<span>6y</span></span>=<span>−30</span></span>Then solve<span><span>−<span>6y</span></span>=<span>−30</span></span>for y:<span><span><span>−<span>6y</span></span><span>−6</span></span>=<span><span>−30</span><span>−6</span></span></span>(Divide both sides by -6)<span>y=5</span>Now that we've found y let's plug it back in to solve for x.Write down an original equation:<span><span>x+<span>4y</span></span>=11</span>Substitute5foryin<span><span><span>x+<span>4y</span></span>=11</span>:</span><span><span>x+<span><span>(4)</span><span>(5)</span></span></span>=11</span><span><span>x+20</span>=11</span>(Simplify both sides of the equation)<span><span><span>x+20</span>+<span>−20</span></span>=<span>11+<span>−20</span></span></span>(Add -20 to both sides)<span>x=<span>−9</span></span>Answer:<span><span>x=<span>−<span><span>9<span> and </span></span>y</span></span></span>=<span>5</span></span>
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A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money d
Bumek [7]

Answer:

<h2><u><em>$71,713</em></u></h2>

Explanation:

  • Find The Total Cost Of The 355 Chairs
  • 355 Chairs - $199 Per Chair

355 · 199 = $70,645

  • Club Spent $70,645 And Had $1,068 Remaining

$70,645 + $1,068 = $71,713

<h2><em><u>The Club Had $71,713 At First</u></em></h2>

- PNW

7 0
3 years ago
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
KengaRu [80]

Answer:

Step-by-step explanation:

i can help

Step 1

4( − 11) = 15 − 4  Solving

Step 2

4( − 11) = 15 − 4  Simplify

15-4

-44=11

Answer

Unique solution

Hope this helps

4 0
3 years ago
Which ordered pair makes both inequalities true?
Tatiana [17]

The ordered pair which makes both inequalities true is: D. (3, 0).

<h3>How to determine ordered pair?</h3>

In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.

In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:

At (0, 0), we have:

y > -2x + 3  

0 > -2(0) + 3

0 > 3 (false).

y < x – 2

0 < 0 - 2

0 < -2 (false)

At (0, -1), we have:

y > -2x + 3  

-1 > -2(0) + 3

-1 > 3 (false).

y < x – 2

-1 < 0 - 2

-1 < -2 (false)

At (1, 1), we have:

y > -2x + 3  

1 > -2(1) + 3

1 > -1 (true).

y < x – 2

1 < 1 - 2

1 < -1 (false)

At (3, 0), we have:

y > -2x + 3  

0 > -2(3) + 3

0 > -3 (true).

y < x – 2

0 < 3 - 2

0 < 1 (true).

Read more on inequalities here: brainly.com/question/24372553

#SPJ1

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2 years ago
5pm to 5 am how many hours
slega [8]

Answer:

12 hours

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Work out the balance for £240 invested for 20 years at 7% per annum
Luda [366]

Step-by-step explanation:

It depends in the type on interest

Simple Interest

PxRxT

£240 x 0.07x 3 = £50.4

£240 + £50.4 = £290.4

Compound Interest

Px(1+R)^T

£290.4 x (1 + 0.07)³ = £355.7524872= €355.76

5 0
3 years ago
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