# How do you solve the linear equation x=y+3 and 3x-2y=4 using the substitution method and are they dependent, independent, or inconsistent?

$x = - 2$ and $y = - 5$
independent

#### Explanation:

from the given
$x = y + 3$ first equation
and $3 x - 2 y = 4$ second equation

Use first equation in to the second equation

$3 \left(y + 3\right) - 2 y = 4$

$3 y + 9 - 2 y = 4$
$3 y - 2 y = 4 - 9$

$y = - 5$

go back to thr first equation use $y = - 5$

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

independent system of equations

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