Choose the correct pair !!

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kaydeemylady

Choose the correct pair !!

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(Based on todays review)

BenjaminG123

Greetings!

Find the POI.
$\left \{ {{3x+2y=12} \atop {6x+3y=21}} \right.$
Multiply Equation #1 by 2.
$\left \{ {{2(3x+2y)=2(12)} \atop {6x+3y=21}} \right.$
$\left \{ {{6x+4y=24} \atop {6x+3y=21}} \right.$
Eliminate with subtraction.
$\frac{\left \{ {{6x+4y=24} \atop {6x+3y=21}} \right. }{0x+y=3}$
$y=3$

Substitute the value of y.
$6x+3y=21$
$6x+3(3)=21$
Simplify.
$6x+9=21$
Add -9 to both sides.
$(6x+9)+(-9)=(21)+(-9)$
$6x=12$
Divide both sides by 6.
$\frac{6x}{6}= \frac{12}{6}$
$x=2$

The Solution/POI is:
$(2,3)$

Hope this helps.
-Benjamin
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