Question #9fb91

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Answer 1 · 2016-07-15T14:36:26

$x=10$
$y=2$

the given system of equations

$x=3y+4" "$ first equation
$2x-3y=14" "$ second equation

Method of Substitution
Substitute the first equation into the second equation so that

$2x-3y=14" "$ second equation

becomes

$2(3y+4)-3y=14" "$ second equation

simplify

$6y+8-3y=14$

$6y-3y=14-8$

$3y=6$

$(3y)/3=6/3$

$y=2$
~~~~~~~~~~~~~~~~~~~~~~~~

Solve now for $x$ using the value of $y=2$

$x=3y+4" "$ first equation
$x=3(2)+4" "$ first equation

$x=6+4$

$x=10$

~~~~~~~~~~~~~~~~~~~

checking:
$x=3y+4" "$ first equation
$10=3(2)+4$
$10=6+4$
$10=10$

checking:
$2x-3y=14" "$ second equation
$2(10)-3(2)=14" "$ second equation

$20-6=14$
$14=14$

$x=10$ and $y=2$ are correct

God bless....I hope the explanation is useful.