How do you solve the following system?: $-5x -4y =3, 3x -y = -2$

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How do you solve the following system?: $-5x -4y =3, 3x -y = -2$

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Answer 1 · 2017-03-02T13:45:44

$x=-11/17$ and $y=1/17$

Explanation:

$-5x-4y=3$
$3x-y=-2$

From the second equation, we can determine a temporary value for $y$ .

$3x-y=-2$

Add $y$ to each side.

$3x=y-2$

Add $2$ to each side.

$3x+2=y$

In the first equation, substitute $y$ with $color(red)((3x+2))$ .

$-5x-4y=3$

$-5x-4color(red)((3x+2))=3$

Open the brackets ad simplify. The product of a negative and a positive is a negative.

$-5x-12x-8=3$

$-17x-8=3$

Add $8$ to each side.

$-17x=11$

Divide both sides by $-17$ .

$x=-11/17$

In the second equation, substitute $x$ with $color(blue)((-11/17))$ .

$3x-y=-2$

$3color(blue)((-11/17))-y=-2$

Open the brackets and simplify. The product of a positive and a negative is a negative.

$-33/17-y=-2$

Add $y$ to each side.

$-33/17=y-2$

Add $2$ to each side.

$-33/17+2=y$

$-33/17+(2xx17/17)=y$

$-33/17+34/17=y$

$(-33+34)/17=y$

$1/17=y$

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How do you solve the following system?: $-5x -4y =3, 3x -y = -2$

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do you solve the following system?: -5x -4y =3, 3x -y = -2-5x -4y =3, 3x -y = -2

1 Answer

Explanation:

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Impact of this question

How do you solve the following system?: $-5x -4y =3, 3x -y = -2$