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Ymorist [56]
3 years ago
8

Please help solve the system of equations

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Answer:

(x, y) = ( 5, 6)

(x, y) = ( - 1, 0)

Step-by-step explanation:

\begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases}

Plug y = x +1 in the equation y + x^2 - 5x = 6 we find:

x + 1 + x^2 - 5x = 6

x^2 - 4x - 5=0

x^2 - 5x +x- 5=0

x(x - 5) +1(x- 5)=0

(x - 5) (x+1)=0

(x - 5) =0, \: (x+1)=0

x =5, \: x=-1

When \:x =5 \implies y =5+1=6

(x, y) = ( 5, 6)

When \:x =-1 \implies y =-1+1=0

(x, y) = ( - 1, 0)

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Find the equation line<br> (5,6), (4,7)
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Answer:

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Step-by-step explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

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Step-by-step explanation:

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