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3 years ago

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Identify the solution(s) of the system of equations, if any. -6x - 4y = 12 12y = -18x - 36

1 answer:

UkoKoshka [18]3 years ago

5 0

$-6x - 4y = 12|\div 2\\
12y = -18x - 36|\div 6\\\\
-3x-2y=6\\
2y=-3x-6\\\\
-3x-2y=6\\
-3x-2y=6$

Both equations are equivalent, so there are infinitely many solutions.

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To eliminate the y terms and solve for x in the fewest steps, by which constants should the equation need multiplied by before a

ivanzaharov [21]

A. Multiplied by 2 for the first then for the second multiply by three.

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nadia needs to buy some cheddar cheese an 8-ounce package of cheddar cheese costs $2.40 a 12 -ounce package of cheddar cheese co

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3 years ago

Read 2 more answers

12(x-20)=-48 what is x

Sophie [7]

Answer:

x = 16

Step-by-step explanation:

12(x - 20) = -48

Use distributive property

12*x - 12*20 = -48

12x - 240 = -48

Add 240 to both sides

12x = -48 + 240

12x = 192

Divide both sides by 12

x = 192/12

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2 years ago

Graphing in Point-Slope Form y−y1=m(x−x1) <br> <br> Graph the equation y+7=−45(x−4) ?

nevsk [136]

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - a point on a line</em>

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

We have the equation in a point-slope form:

$y+7=-\dfrac{4}{5}(x-4)$

$y-(-7)=-\dfrac{4}{5}(x-4)$

Therefore we have one point: <em>(4, -7)</em><em>.</em>

<em>Convert to the slope-intercept form:</em>

$y+7=-\dfrac{4}{5}(x-4)$ <em>use the distributive property</em>

$y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)$

$y+7=-\dfrac{4}{5}x+\dfrac{16}{5}$

$y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}$ <em>subtract 7 from both sides</em>

$y=-\dfrac{4}{5}x-3\dfrac{4}{5}$

Put <em>x = -1</em><em> </em>to the equation:

$y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3$

Therefore we have the second point <em>(-1, -3)</em>.

3 0

3 years ago