<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x-3y%3D-8%7D%20%5Catop%20%7Bxy%3D12%7D%7D%20%5Cright." id="TexFormul

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2 years ago

a1" title="\left \{ {{5x-3y=-8} \atop {xy=12}} \right." alt="\left \{ {{5x-3y=-8} \atop {xy=12}} \right." align="absmiddle" class="latex-formula">
I don't understand the equation, please someone explain me how to resolve.

Mathematics

1 answer:

nignag [31]2 years ago

5 0

Answer:

$\left \{ {{5x-3y=-8} \atop {xy=12}} \right.\\\\\left \{ {{5x=3y-8} \atop {xy=12}} \right.\\\\\left \{ {{5x=3y-8} \atop {5xy=60}} \right.\\\\\left \{ {{5x=3y-8} \atop {(3y-8)y=60}} \right.\\\\\left \{ {{5x=3y-8} \atop {3y^{2}-8y -60=0}} \right.\\\\\left \{ {{5x=3y-8} \atop {3y^{2}-18y+10y-60 =0}} \right.\\\\\\\left \{ {{5x=3y-8} \atop {3y(y-6)+10(y-6)=0}} \right.\\\\\left \{ {{5x=3y-8} \atop {(3y+10)(y-6)=0}} \right.\\\\$

<=> 5x = 3y - 8

3y + 10 = 0 or y - 6 = 0

<=> 5x = 3y - 8

y = -10/3 or y = 6

+) with y = -10/3 => 5x = -10 - 8 <=> 5x = -18 <=> x = -3.6

+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6

Step-by-step explanation:

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