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3 years ago

Identify the values that create ordered pairs that are solutions to the equation 3x-5y=20

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

The answer to your question is: x=10. y=2

IrinaVladis [17]3 years ago

3 0

Answer:

$(5,-1)$

$(10,2)$

Step-by-step explanation:

we have

The ordered pairs that are solutions to the equation $3x-5y=20$ are

$(5,y),(x,2)$

Step 1

Substitute the value of x of the first ordered pair and solve for y in the equation

$3(5)-5y=20$

$5y=15-20$

$y=-1$

The first ordered pair is $(5,-1)$

Step 2

Substitute the value of y of the second ordered pair and solve for x in the equation

$3x-5(2)=20$

$3x=20+10$

$x=10$

The second ordered pair is $(10,2)$

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For what value of a should you solve the system of elimination?

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$\begin{bmatrix}3x+5y=10\\ 2x+ay=4\end{bmatrix}$

$\mathrm{Multiply\:}3x+5y=10\mathrm{\:by\:}2: 6x+10y=20$
$\mathrm{Multiply\:}2x+ay=4\mathrm{\:by\:}3: 3ay+6x=12$

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6x + 3ay = 12
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3a - 10y = -8

$\begin{bmatrix}6x+10y=20\\ 3a-10y=-8\end{bmatrix}$

$3a-10y=-8 \ \textgreater \ \mathrm{Subtract\:}3a\mathrm{\:from\:both\:sides}$
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$\mathrm{Simplify} \ \textgreater \ -10y=-8-3a \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-10$
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$\frac{-10y}{-10} \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}: \frac{-a}{-b}=\frac{a}{b} \ \textgreater \ \frac{10y}{10}$

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$-\frac{8}{-10}-\frac{3a}{-10} \ \textgreater \ \mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \ \frac{-8-3a}{-10}$

$\mathrm{Apply\:the\:fraction\:rule}: \frac{a}{-b}=-\frac{a}{b} \ \textgreater \ -\frac{-3a-8}{10} \ \textgreater \ y=-\frac{-8-3a}{10}$

$\mathrm{For\:}6x+10y=20\mathrm{\:plug\:in\:}\ \:y=\frac{8}{10-3a} \ \textgreater \ 6x+10\cdot \frac{8}{10-3a}=20$

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$\mathrm{Multiply\:the\:numbers:}\:8\cdot \:10=80 \ \textgreater \ \frac{80}{10-3a}$

$6x+\frac{80}{10-3a}=20 \ \textgreater \ \mathrm{Subtract\:}\frac{80}{10-3a}\mathrm{\:from\:both\:sides}$
$6x+\frac{80}{10-3a}-\frac{80}{10-3a}=20-\frac{80}{10-3a}$

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7 0

3 years ago

Read 2 more answers

The length of a square is 256m and the breadth is 238m what is the perimeter

nikitadnepr [17]

The perimeter is 988 meters

Further explanation:

The given square has different length and breadth which means that the given square is a rectangle.

The formula for perimeter of a rectangle is:

$P=2L+2W$

Given

Length=L=256m

Breadth=W=238m

Putting the values in the formula:

$P=2(256)+2(238)\\=512+476\\=988\ meters$

The perimeter is 988 meters.

Keywords: Rectangle, Perimeter

Learn more about perimeter at:

#LearnwithBrainly

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