Is (5, -1) a solution to this system of equations: $3 x + 6 y = 9$ $3x+6y = 9$ and $- 2 x - y = - 6$ $-2x-y = -6$ ?

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Is (5, -1) a solution to this system of equations: $3 x + 6 y = 9$ $3x+6y = 9$ and $- 2 x - y = - 6$ $-2x-y = -6$ ?

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Answer 1 · 2017-01-19T12:41:04

No. See below, the second equation is not solve therefore this point is not a solution for this set of equations.

Explanation:

To determine if this point is a solution to the system of equations we need to substitute the point into each equation and see if it solves the equation.

We will substitute $5$ $color(red)(5)$ for $x$ $color(red)(x)$ and $- 1$ $color(blue)(-1)$ for $y$ $color(blue)(y)$

Then $3 x + 6 y = 9$ $3color(red)(x) + 6color(blue)(y) = 9$ becomes:

$(3 \times 5) + (6 \times - 1) = 9$ $(3 xx color(red)(5)) + (6 xx color(blue)(-1)) = 9$

$15 - 6 = 9$ $15 - 6 = 9$

$9 = 9$ $9 = 9$

And $- 2 x - y = - 6$ $-2color(red)(x) - color(blue)(y) = -6$ becomes:

$(- 2 \times 5) - (- 1) = - 6$ $(-2 xx color(red)(5)) - (color(blue)(-1)) = -6$

$- 10 + = - 6$ $-10 + = -6$

$- 9 \neq - 6$ $-9 != -6$

Because the second equation is not solve this point is not a solution for this set of equations.

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Is (5, -1) a solution to this system of equations: $3 x + 6 y = 9$ $3x+6y = 9$ and $- 2 x - y = - 6$ $-2x-y = -6$ ?

1 Answer

Explanation:

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Is (5, -1) a solution to this system of equations: 3x+6y=93x+6y = 9 and −2x−y=−6-2x-y = -6 ?

1 Answer

Explanation:

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Is (5, -1) a solution to this system of equations: $3 x + 6 y = 9$ $3x+6y = 9$ and $- 2 x - y = - 6$ $-2x-y = -6$ ?