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nlexa [21]
2 years ago
13

Solve using the method of elimination and determine if the system has 1 solution, no solutions, or infinite solutions

Mathematics
1 answer:
Minchanka [31]2 years ago
8 0

\begin{array}{rrrrr} 10x&-&18y&=&2\\ -5x&+&9y&=&-1 \end{array}~\hfill \implies ~\hfill \stackrel{\textit{second equation }\times 2}{ \begin{array}{rrrrr} 10x&-&18y&=&2\\ 2(-5x&+&9y&)=&2(-1) \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{rrrrr} 10x&-&18y&=&2\\ -10x&+&18y&=&-2\\\cline{1-5} 0&+&0&=&0 \end{array}\qquad \impliedby \textit{another way of saying \underline{infinite solutions}}

if we were to solve both equations for "y", we'd get

10x-18y=2\implies 10x-2=18y\implies \cfrac{10x-2}{18}=y\implies \cfrac{5}{9}x-\cfrac{1}{9}=y \\\\\\ -5x+9y=-1\implies 9y=5x-1\implies y=\cfrac{5x-1}{9}\implies y = \cfrac{5}{9}x-\cfrac{1}{9}

notice, the 1st equation is really the 2nd in disguise, since both lines are just pancaked on top of each other, every point in the lines is a solution or an intersection, and since both go to infinity, well, there you have it.

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Answer:

<h2>0</h2>

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5 0
2 years ago
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Can 12 cm 12 cm and 28 cm form a triangle
erastova [34]
Using the Theorem of Pythagoras (a² + b² = c²)

Put in the values:

12² + 12² = 28²
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Nope! Because 12² + 12² = 288, and the square root of 288 is about 17, not 28.

The answer is no, 12cm, 12cm, 28cm cannot form a triangle.

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
3 0
4 years ago
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AfilCa [17]

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3 years ago
A.4 B.5 C.6 D.8<br> HELP PLEASE
soldier1979 [14.2K]

Answer:

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Step-by-step explanation:

Volume of cylinder formula:

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8 0
2 years ago
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Solve this system of equations algebraically:
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Y - 10 = 11 x + x²
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y = 12 x + 30
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