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alexira [117]
3 years ago
12

3x²+5xy=–4xy–2x=—3

alt="solve simultinously" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Natali [406]3 years ago
7 0

xy - 2x =  - 3

xy = 2x - 3

____________________________________________

3 {x}^{2}  + 5xy + 4 = 0

3 {x}^{2}  + 5(2x - 3) + 4 = 0

3 {x}^{2}  + 10x - 15 + 4 = 0

3 {x}^{2}  + 10x - 11 = 0

delta =  {10}^{2}  - 4(3)( - 11)

delta = 100  + 132

delta = 232

Thus;

x =  \frac{ - 10 +  \sqrt{232} }{6}  \:  \: or \:  \: x \frac{ - 10 -  \sqrt{232} }{6}  \\

x =  \frac{ - 10 + 15.23}{6}  \:  \: or \:  \: x =  \frac{ - 10 - 15.23}{6}  \\

x =  \frac{5.23}{6}  \:  \: or \:  \: x =  \frac{ - 25.23}{6}  \\

x = 0.8716 \:  \: or \:  \: x =  - 4.205

____________________________________________

<h2>If x = 0.8716 then : </h2>

0.8716 \:  y = 2(0.8716) - 3

0.8716 \: y = 1.7432 - 3

0.8716 y=  - 1.2568

y =  \frac{ - 1.2568}{0.8716}  \\

y =  - 1.4419

<h2>And if x = - 4.205 then : </h2>

- 4.205 \: y = 2( - 4.205) - 3

- 4.205 \: y =  - 8.410 - 3

- 4.205 \: y =  - 11.410

y =  \frac{ - 11.410}{ - 4.205}  \\

y = 2.7134

And we're done

Have a great day ♡

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