How do you solve $3 x - 2 y = 0$ $3x - 2y = 0$ and $x = 11 - 3 y$ $x = 11 - 3y$ using substitution?

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How do you solve $3 x - 2 y = 0$ $3x - 2y = 0$ and $x = 11 - 3 y$ $x = 11 - 3y$ using substitution?

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Answer 1 · 2018-03-07T23:18:06

$(2, 3)$ $(2,3)$

Explanation:

Substitution is the process of solving a system of equations, using one equation with a solved variable in place of that variable in the second equation.

Here are the equations we are given:

$3 x - 2 y = 0$ $3x-2y=0$
$x = 11 - 3 y$ $x=11-3y$

Luckily, we already have one variable solved for. All we have to do is replace the $x$ $x$ in the first equation with its corresponding value.

We should now have this:

$3 (11 - 3 y) - 2 y = 0$ $3(11-3y)-2y=0$

From here, we simply solve for $y$ $y$ :

$3 (11 - 3 y) - 2 y = 0$ $3(11-3y)-2y=0$

$33 - 9 y - 2 y = 0$ $33-9y-2y=0$

$33 - 11 y = 0$ $33-11y=0$

$- 11 y = - 33$ $-11y=-33$

$y = \frac{- 33}{- 11}$ $y=(-33)/-11$

$y = 3$ $y=3$

Now that we know our $y$ $y$ value, we can plug it back into the " $x$ $x$ " equation.

$x = 11 - 3 (3)$ $x=11-3(3)$

$x = 11 - 9$ $x=11-9$

$x = 2$ $x=2$

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How do you solve $3 x - 2 y = 0$ $3x - 2y = 0$ and $x = 11 - 3 y$ $x = 11 - 3y$ using substitution?

1 Answer

Explanation:

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How do you solve $3 x - 2 y = 0$ $3x - 2y = 0$ and $x = 11 - 3 y$ $x = 11 - 3y$ using substitution?