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Amiraneli [1.4K]
3 years ago
14

Solve the system using elimination PLEASE SHOW ALL WORK 5x+4y=12 3x-3y=18

Mathematics
2 answers:
marta [7]3 years ago
7 0
5x + 4y = 12....multiply by 3
3x - 3y = 18 ...multiply by -5
----------------
15x + 12y = 36 (result of multiplying by 3)
-15x + 15y = - 90 (result of multiplying by -5)
----------------------add
27y = - 54
y = -54/27
y = -2

5x + 4y = 12
5x + 4(-2) = 12
5x - 8 = 12
5x = 12 + 8
5x = 20
x = 20/5
x = 4

solution is : (4,-2) <=
Step2247 [10]3 years ago
3 0
<span><span>5x+4y</span>=12</span>Step 1: Add -4y to both sides.<span><span><span>5x+4y</span>+<span>−4y</span></span>=<span>12+<span>−4y</span></span></span><span>5x=<span><span>−4y</span>+12</span></span>Step 2: Divide both sides by 5.<span><span>5x5</span>=<span><span><span>−4y</span>+12</span>5</span></span><span>x=<span><span><span>−45</span>y</span>+125</span></span>Answer:<span>x=<span><span><span>−45</span>y</span>+<span>12<span>5
question 2:
</span></span></span></span><span><span><span>3x</span>−<span>3y</span></span>=18</span>Step 1: Add 3y to both sides.<span><span><span><span>3x</span>−<span>3y</span></span>+<span>3y</span></span>=<span>18+<span>3y</span></span></span><span><span>3x</span>=<span><span>3y</span>+18</span></span>Step 2: Divide both sides by 3.<span><span><span>3x</span>3</span>=<span><span><span>3y</span>+18</span>3</span></span><span>x=<span>y+6</span></span>Answer:<span>x=<span>y+<span>6</span></span></span>
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Answer: Choice C)  {6, 9, 12}

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Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

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