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Andrew [12]
3 years ago
10

Solve each system of linear equations albebraically

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Step-by-step explanation:

1.\\\left\{\begin{array}{ccc}y=3x&(1)\\2y=6x&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\2(3x)=6x\\6x=6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\6x-6x=6x-6x\\0=0\qquad\text{TRUE}\\\\Answer:\ \text{Infinitely many solutions}\\\\\left\{\begin{array}{ccc}y=3x\\x\in\mathbb{R}\end{array}\right

2.\\\left\{\begin{array}{ccc}y=2x+5&(1)\\y-2x=1&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(2x+5)-2x=1\\2x+5-2x=1\qquad\text{combine like terms}\\(2x-2x)+5=1\\5=-1\qquad\text{FALSE}\\\\Answer:\ \text{No solution.}

3.\\\left\{\begin{array}{ccc}3x-2y=9\\-6x+4y=1&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x-2y=9\\-3x+2y=0.5\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=9.5\qquad\text{FALSE}\\\\Answer:\ \text{No solution.}

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Answer:

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Angle C = Angle V

Step-by-step explanation:

The order that the angles are listed above shows you which angle in the first triangle corresponds to which angle in the other triangle.  It tells you triangle ABC = triangle TUV.  Since A and T are both listed first, they are equivalent.  Angles B and U are both listed second, so they correspond to each other.  And angles C and V are listed last, so they correspond to each other.

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Question

6v²+ 4v²  please solve this equation


Answer:

<h2>10v²</h2>

Step-by-step explanation:

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How long will it take an airplane to travel 1,250 kilometers if it is traveling at 150km/hr
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3 years ago
Read 2 more answers
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Step-by-step explanation:

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3 years ago
An orange grower find that she gets an average yield of 40 bushels per tree when she plants 20 trees on an acre of ground. Each
sdas [7]

Answer:

30 trees/acre

Step-by-step explanation:

Let n = the number of trees added to 1 acre

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Yield in bushels/acre = [bushels/tree] x [trees/acre]

Y(n) = (40-n)*(20+n)

       = 800 - 20n + 40n - n^2

       = n^2 + 20n + 800 ---------------------(1)

The n-value of the vertex ( which is a peak )  is given by the formula:

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and

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4 years ago
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