Question
Asked Dec 7, 2019
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Give the solution to the system of equations. 

x2+y2=5, y=3x-5

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Expert Answer

Step 1

Give the solution to the system of equations. 

x2+y2=5, y=3x-5

Step 2

Given

 

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x*+y° = 5 -(i) -.(ii) y = 3x-5

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Step 3

Substituting (ii) in (i) ...

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x+y? = 5 -(i) -(ii) y = 3x-5 x* +(3x-5)° = 5 =x* +(3x)° +(5)° – 2(3x)(5) = 5 →x +9x² +25 –- 30x=5 =x +9x² +25– 30x-5=5-5 =x +9x +25– 30x-5=0 →10x - 30x+20 = 0 = 10(x - 3x+2) =0 =x -3x+2 = 0 =x -2x-x+2 =0 = x(x-2)-1(x-2) =0 =(x-2)(x-1) =0 = x-2 =0 or x-1=0 x=2 or r x=1

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