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shtirl [24]
3 years ago
8

What is the solution to the system of equations? Use the linear combination method.

Mathematics
1 answer:
Korolek [52]3 years ago
3 0
1. {2x−3y=9
{3x+5y=4

2. {(2x−3y=9)×5
{(3x+5y=4)x3

3. {10x-15y=45
{9x+15y=12

4. (10x-15y=45) + (9x+15y=12)= (19x=57)

5. (19x=57)÷19

6. x=3

7. 2(3)-3y=9

8. 6-3y=9

9. -3y=9-6

10. (-3y=3)÷(-3)

11. y=-1

Answer: x=3 and y=-1
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Find the area of the circle x^2+y^2=16 by the method of intregration
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Hello,

16\pi

Step-by-step explanation:

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4 0
3 years ago
Ln a+3 + ln a-3 = ln 16
Lilit [14]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5
7 0
3 years ago
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