Question

Solve the system of equations.
y=x+6
y=x^2 + 8x + 16

Answer 1

`\huge \underline\frak \red{Answer}`

`\small\mathbb\green{(-2;4) \: or \: (-5;1)}`

`\small\mathbb\green{y=x+6}`

`\small\mathbb\green{y=x²+8x+16}`

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`\small\mathbb\green{x+6=x²+8x+16}`

`\small\mathbb\green{x²+8x+16-x-6=0}`

`\small\mathbb\green{x²+7x+10=0}`

`\small\mathbb\green{x²+5x+2x+10=0}`

`\small\mathbb\green{x(x+5)+2(x+5)=0}`

`\mathbb\green{(x+2) (x+5) = 0}`

`\small\mathbb\green{x+2=0 \: ➢ \: x¹ = -2}`

`\small\mathbb\green{x+5=0 \: ➢ \: x² = -5}`

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`\small\mathbb\green{y¹ = -2+6 \: ➢ \: y¹ = 4}`

`\small\mathbb\green{y² = -5+6 \: ➢ \: y² = 1}`

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`\small\frak\pink{Hope \: its \: helpful \: to \: you}`

Answer 2

Explanation:

point form: (-2,4) (-5,1)

equation form: x= -2, y=4

x= -5, y=1